<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with Wdesk from Workiva-->
<!--Copyright 2022 Workiva-->
<!--r:b3916565-e917-455b-84cf-3e1d133749e3,g:14bb72f5-3d35-4013-94db-6866f10e4260-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/CoverPage" xlink:type="simple" xlink:href="livn-20220630.xsd#CoverPage"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/CoverPage" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_56be4924-a471-40b8-8f0c-02769687b50f" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_DocumentType_56be4924-a471-40b8-8f0c-02769687b50f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentQuarterlyReport_8d99ca98-2879-413a-9c81-f09b7a76bf0d" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_DocumentQuarterlyReport"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_DocumentQuarterlyReport_8d99ca98-2879-413a-9c81-f09b7a76bf0d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_19b8ce3c-4770-494e-8fc8-62080e6deb44" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_DocumentPeriodEndDate_19b8ce3c-4770-494e-8fc8-62080e6deb44" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentTransitionReport_42e3c618-e688-4ab0-944c-cf67b4d94bfe" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_DocumentTransitionReport"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_DocumentTransitionReport_42e3c618-e688-4ab0-944c-cf67b4d94bfe" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_37007c3c-94bc-4603-bec6-b70d59ecb7b1" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_EntityFileNumber_37007c3c-94bc-4603-bec6-b70d59ecb7b1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_3e9b7773-3cfb-4105-bf7c-dac8ee99ee67" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_EntityRegistrantName_3e9b7773-3cfb-4105-bf7c-dac8ee99ee67" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_0cfe0cbc-3a12-4261-9630-e65d2442fb97" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_EntityIncorporationStateCountryCode_0cfe0cbc-3a12-4261-9630-e65d2442fb97" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_e6f48f07-a163-45b4-ae36-38d6d8df8d4f" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_EntityTaxIdentificationNumber_e6f48f07-a163-45b4-ae36-38d6d8df8d4f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_643a0a64-85b9-4599-be5b-5a0d45926a1b" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_EntityAddressAddressLine1_643a0a64-85b9-4599-be5b-5a0d45926a1b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_a98fdc1f-5a64-4986-95a3-a3d9310e11e4" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_EntityAddressCityOrTown_a98fdc1f-5a64-4986-95a3-a3d9310e11e4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCountry_c881999d-3452-435c-b148-33ff24794b58" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityAddressCountry"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_EntityAddressCountry_c881999d-3452-435c-b148-33ff24794b58" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_0521c0b8-ff99-47b8-b353-b39881e36afb" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_EntityAddressPostalZipCode_0521c0b8-ff99-47b8-b353-b39881e36afb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CountryRegion_7016cad3-d93a-405d-89c5-707ec4a54959" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_CountryRegion"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_CountryRegion_7016cad3-d93a-405d-89c5-707ec4a54959" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_cc6501db-c79f-49d4-b87e-6013271012a5" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_CityAreaCode_cc6501db-c79f-49d4-b87e-6013271012a5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_fd49d804-02c0-4843-81f4-4eb6058ea713" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_LocalPhoneNumber_fd49d804-02c0-4843-81f4-4eb6058ea713" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_c461d6a7-4772-4923-b8c4-d1bdb447c543" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_Security12bTitle_c461d6a7-4772-4923-b8c4-d1bdb447c543" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_0f885cf2-bbc8-48af-8af2-623cd67d2214" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_TradingSymbol_0f885cf2-bbc8-48af-8af2-623cd67d2214" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_720d3ede-7f53-455e-89aa-24b1b3eeeb8f" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_SecurityExchangeName_720d3ede-7f53-455e-89aa-24b1b3eeeb8f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCurrentReportingStatus_52c5f48c-059a-44c8-a038-b83d15e5f47c" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityCurrentReportingStatus"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_EntityCurrentReportingStatus_52c5f48c-059a-44c8-a038-b83d15e5f47c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityInteractiveDataCurrent_e33e6951-6223-4600-a876-2c6ddd6fd7c8" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityInteractiveDataCurrent"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_EntityInteractiveDataCurrent_e33e6951-6223-4600-a876-2c6ddd6fd7c8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFilerCategory_f9b07219-654d-4e0f-bb41-1f3b3b1afe66" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityFilerCategory"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_EntityFilerCategory_f9b07219-654d-4e0f-bb41-1f3b3b1afe66" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntitySmallBusiness_27c2dd0f-2b81-421f-80d9-f1cc0f761eed" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntitySmallBusiness"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_EntitySmallBusiness_27c2dd0f-2b81-421f-80d9-f1cc0f761eed" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_59be000f-8019-43ff-b796-5d3bc80ca342" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_EntityEmergingGrowthCompany_59be000f-8019-43ff-b796-5d3bc80ca342" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityShellCompany_b0df69d4-2d3e-4320-b814-36425657aec9" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityShellCompany"/>
    <link:presentationArc order="24" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_EntityShellCompany_b0df69d4-2d3e-4320-b814-36425657aec9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCommonStockSharesOutstanding_fd3f5ff5-5117-48be-8071-ade8d4402e55" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityCommonStockSharesOutstanding"/>
    <link:presentationArc order="25" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_EntityCommonStockSharesOutstanding_fd3f5ff5-5117-48be-8071-ade8d4402e55" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_2e2875db-2ed6-43b8-99eb-f5b039ecdb66" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="26" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_AmendmentFlag_2e2875db-2ed6-43b8-99eb-f5b039ecdb66" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CurrentFiscalYearEndDate_26ca37c7-bd8a-4c68-a68b-4e5c32240280" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_CurrentFiscalYearEndDate"/>
    <link:presentationArc order="27" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_CurrentFiscalYearEndDate_26ca37c7-bd8a-4c68-a68b-4e5c32240280" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentFiscalYearFocus_6366e193-8f90-44e1-af89-ae5768ddfbbc" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_DocumentFiscalYearFocus"/>
    <link:presentationArc order="28" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_DocumentFiscalYearFocus_6366e193-8f90-44e1-af89-ae5768ddfbbc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentFiscalPeriodFocus_fdb8bbaf-88d0-4adc-b844-5b82909c919a" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_DocumentFiscalPeriodFocus"/>
    <link:presentationArc order="29" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_DocumentFiscalPeriodFocus_fdb8bbaf-88d0-4adc-b844-5b82909c919a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_156d0fd2-e5e1-4618-93cd-94053cdc57eb" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="30" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_087cab3f-de3f-4b99-9715-84fdc68152b1" xlink:to="loc_dei_EntityCentralIndexKey_156d0fd2-e5e1-4618-93cd-94053cdc57eb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/CondensedConsolidatedStatementsofIncomeLoss" xlink:type="simple" xlink:href="livn-20220630.xsd#CondensedConsolidatedStatementsofIncomeLoss"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/CondensedConsolidatedStatementsofIncomeLoss" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementAbstract_e666d4f3-2c5e-443b-8854-629cee621081" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeStatementAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_4187471e-7057-4a03-84ef-4adf8c1e086e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_e666d4f3-2c5e-443b-8854-629cee621081" xlink:to="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_4187471e-7057-4a03-84ef-4adf8c1e086e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostOfGoodsAndServicesSold_dc3af3d5-430a-4140-a1b1-f270043e22ed" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CostOfGoodsAndServicesSold"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_e666d4f3-2c5e-443b-8854-629cee621081" xlink:to="loc_us-gaap_CostOfGoodsAndServicesSold_dc3af3d5-430a-4140-a1b1-f270043e22ed" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GrossProfit_f84a861b-4ad2-4c94-b1f2-9bb970d46b25" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_GrossProfit"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_e666d4f3-2c5e-443b-8854-629cee621081" xlink:to="loc_us-gaap_GrossProfit_f84a861b-4ad2-4c94-b1f2-9bb970d46b25" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostsAndExpensesAbstract_6856347f-a6a6-4ed2-bf4f-b6d3079f225d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CostsAndExpensesAbstract"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_e666d4f3-2c5e-443b-8854-629cee621081" xlink:to="loc_us-gaap_CostsAndExpensesAbstract_6856347f-a6a6-4ed2-bf4f-b6d3079f225d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SellingGeneralAndAdministrativeExpense_c4b3bd82-2265-4b12-8a4e-f1c33b89c140" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SellingGeneralAndAdministrativeExpense"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CostsAndExpensesAbstract_6856347f-a6a6-4ed2-bf4f-b6d3079f225d" xlink:to="loc_us-gaap_SellingGeneralAndAdministrativeExpense_c4b3bd82-2265-4b12-8a4e-f1c33b89c140" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ResearchAndDevelopmentExpense_12c2f0c2-17c6-44aa-82a0-e08678c94ae0" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ResearchAndDevelopmentExpense"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CostsAndExpensesAbstract_6856347f-a6a6-4ed2-bf4f-b6d3079f225d" xlink:to="loc_us-gaap_ResearchAndDevelopmentExpense_12c2f0c2-17c6-44aa-82a0-e08678c94ae0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherOperatingIncomeExpenseNet_ef3210bb-e1d6-41e4-a6fe-a2d29ad12ca8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherOperatingIncomeExpenseNet"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CostsAndExpensesAbstract_6856347f-a6a6-4ed2-bf4f-b6d3079f225d" xlink:to="loc_us-gaap_OtherOperatingIncomeExpenseNet_ef3210bb-e1d6-41e4-a6fe-a2d29ad12ca8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_f78aa032-d1c7-4748-989f-b61c35be9057" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CostsAndExpensesAbstract_6856347f-a6a6-4ed2-bf4f-b6d3079f225d" xlink:to="loc_us-gaap_OperatingIncomeLoss_f78aa032-d1c7-4748-989f-b61c35be9057" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpense_d273c0e9-d7c0-425a-ae5f-c9125ff42d7a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InterestExpense"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_e666d4f3-2c5e-443b-8854-629cee621081" xlink:to="loc_us-gaap_InterestExpense_d273c0e9-d7c0-425a-ae5f-c9125ff42d7a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ForeignCurrencyTransactionGainLossAndOtherNonoperatingIncome_ba97a5f0-ceac-4817-ad9a-74b85216389f" xlink:href="livn-20220630.xsd#livn_ForeignCurrencyTransactionGainLossAndOtherNonoperatingIncome"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_e666d4f3-2c5e-443b-8854-629cee621081" xlink:to="loc_livn_ForeignCurrencyTransactionGainLossAndOtherNonoperatingIncome_ba97a5f0-ceac-4817-ad9a-74b85216389f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_267452b0-57aa-453b-a622-dcc1841a3b94" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_e666d4f3-2c5e-443b-8854-629cee621081" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_267452b0-57aa-453b-a622-dcc1841a3b94" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_5c7b273e-ef87-4d33-b3fc-02ded81cd51d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_e666d4f3-2c5e-443b-8854-629cee621081" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_5c7b273e-ef87-4d33-b3fc-02ded81cd51d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromEquityMethodInvestments_d36ca048-b2c1-4321-9e94-c7cbfe1e7046" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeLossFromEquityMethodInvestments"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_e666d4f3-2c5e-443b-8854-629cee621081" xlink:to="loc_us-gaap_IncomeLossFromEquityMethodInvestments_d36ca048-b2c1-4321-9e94-c7cbfe1e7046" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_bac8a190-d5c0-414e-a1f5-09aee526d220" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetIncomeLoss"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_e666d4f3-2c5e-443b-8854-629cee621081" xlink:to="loc_us-gaap_NetIncomeLoss_bac8a190-d5c0-414e-a1f5-09aee526d220" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareBasic_e25f95cd-3deb-4fd6-9416-599b694e4fb7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EarningsPerShareBasic"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_e666d4f3-2c5e-443b-8854-629cee621081" xlink:to="loc_us-gaap_EarningsPerShareBasic_e25f95cd-3deb-4fd6-9416-599b694e4fb7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareDiluted_e450349a-523f-4285-a33f-0cda0b948b9a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EarningsPerShareDiluted"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_e666d4f3-2c5e-443b-8854-629cee621081" xlink:to="loc_us-gaap_EarningsPerShareDiluted_e450349a-523f-4285-a33f-0cda0b948b9a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_c746e809-f4a7-4822-b8ac-7fa4a8b13d66" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasic"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_e666d4f3-2c5e-443b-8854-629cee621081" xlink:to="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_c746e809-f4a7-4822-b8ac-7fa4a8b13d66" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_d6417d16-1d4e-4b31-8f25-000e77b9604c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementAbstract_e666d4f3-2c5e-443b-8854-629cee621081" xlink:to="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_d6417d16-1d4e-4b31-8f25-000e77b9604c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/CondensedConsolidatedStatementsofComprehensiveIncomeLoss" xlink:type="simple" xlink:href="livn-20220630.xsd#CondensedConsolidatedStatementsofComprehensiveIncomeLoss"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/CondensedConsolidatedStatementsofComprehensiveIncomeLoss" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract_83504a91-b4f6-4b1f-931e-072e0d0473c9" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_c4c24e49-3547-4ce8-b945-6f21f9e3a95b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetIncomeLoss"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract_83504a91-b4f6-4b1f-931e-072e0d0473c9" xlink:to="loc_us-gaap_NetIncomeLoss_c4c24e49-3547-4ce8-b945-6f21f9e3a95b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParentAbstract_efce1e17-d2fe-49b8-8100-e528a3e1f2da" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParentAbstract"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract_83504a91-b4f6-4b1f-931e-072e0d0473c9" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParentAbstract_efce1e17-d2fe-49b8-8100-e528a3e1f2da" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossAfterReclassificationBeforeTaxParent_e0e93cb5-a5e4-4788-a919-020f3112a08d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossAfterReclassificationBeforeTaxParent"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParentAbstract_efce1e17-d2fe-49b8-8100-e528a3e1f2da" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossAfterReclassificationBeforeTaxParent_e0e93cb5-a5e4-4788-a919-020f3112a08d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossAfterReclassificationTaxParent_107bba87-7cf0-451d-af9c-7163f42aaf5d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossAfterReclassificationTaxParent"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParentAbstract_efce1e17-d2fe-49b8-8100-e528a3e1f2da" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossAfterReclassificationTaxParent_107bba87-7cf0-451d-af9c-7163f42aaf5d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossAfterReclassificationAndTaxParent_a4d280e8-447b-4681-afc7-af9d54d78114" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossAfterReclassificationAndTaxParent"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParentAbstract_efce1e17-d2fe-49b8-8100-e528a3e1f2da" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossAfterReclassificationAndTaxParent_a4d280e8-447b-4681-afc7-af9d54d78114" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeForeignCurrencyTransactionAndTranslationAdjustmentNetOfTaxPortionAttributableToParent_6907998f-1b02-4b0c-abeb-50585a39c176" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherComprehensiveIncomeForeignCurrencyTransactionAndTranslationAdjustmentNetOfTaxPortionAttributableToParent"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParentAbstract_efce1e17-d2fe-49b8-8100-e528a3e1f2da" xlink:to="loc_us-gaap_OtherComprehensiveIncomeForeignCurrencyTransactionAndTranslationAdjustmentNetOfTaxPortionAttributableToParent_6907998f-1b02-4b0c-abeb-50585a39c176" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_6e150bdd-975c-4626-b3b3-590c1e4b93e9" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParentAbstract_efce1e17-d2fe-49b8-8100-e528a3e1f2da" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_6e150bdd-975c-4626-b3b3-590c1e4b93e9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTax_0e4af37b-1406-4fb9-a5f3-2e4e8d1eb8a2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ComprehensiveIncomeNetOfTax"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract_83504a91-b4f6-4b1f-931e-072e0d0473c9" xlink:to="loc_us-gaap_ComprehensiveIncomeNetOfTax_0e4af37b-1406-4fb9-a5f3-2e4e8d1eb8a2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/CondensedConsolidatedBalanceSheets" xlink:type="simple" xlink:href="livn-20220630.xsd#CondensedConsolidatedBalanceSheets"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/CondensedConsolidatedBalanceSheets" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfFinancialPositionAbstract_16994876-3d17-4b79-850f-157a9660bca1" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StatementOfFinancialPositionAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsAbstract_49a192cb-b5d4-4196-952f-69a3077ad42d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AssetsAbstract"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_16994876-3d17-4b79-850f-157a9660bca1" xlink:to="loc_us-gaap_AssetsAbstract_49a192cb-b5d4-4196-952f-69a3077ad42d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrentAbstract_8411e032-1835-499c-bfec-b294484ae462" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AssetsCurrentAbstract"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsAbstract_49a192cb-b5d4-4196-952f-69a3077ad42d" xlink:to="loc_us-gaap_AssetsCurrentAbstract_8411e032-1835-499c-bfec-b294484ae462" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_79579bc3-0b98-49ef-abcf-6f4bf4d77fad" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsCurrentAbstract_8411e032-1835-499c-bfec-b294484ae462" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_79579bc3-0b98-49ef-abcf-6f4bf4d77fad" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue_56bd350d-8454-4985-8327-672d8cca6c1b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsCurrentAbstract_8411e032-1835-499c-bfec-b294484ae462" xlink:to="loc_us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue_56bd350d-8454-4985-8327-672d8cca6c1b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsReceivableNetCurrent_c8cd3a92-0533-4c86-ac17-0635025874ca" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccountsReceivableNetCurrent"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsCurrentAbstract_8411e032-1835-499c-bfec-b294484ae462" xlink:to="loc_us-gaap_AccountsReceivableNetCurrent_c8cd3a92-0533-4c86-ac17-0635025874ca" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryNet_c631623c-83ad-48ae-9568-539cb9ec1530" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InventoryNet"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsCurrentAbstract_8411e032-1835-499c-bfec-b294484ae462" xlink:to="loc_us-gaap_InventoryNet_c631623c-83ad-48ae-9568-539cb9ec1530" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidTaxes_2e891b29-862d-4926-920d-f2740feebb5a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PrepaidTaxes"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsCurrentAbstract_8411e032-1835-499c-bfec-b294484ae462" xlink:to="loc_us-gaap_PrepaidTaxes_2e891b29-862d-4926-920d-f2740feebb5a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssetsCurrent_a7e0b358-50ca-488a-a914-21957d46022a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeAssetsCurrent"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsCurrentAbstract_8411e032-1835-499c-bfec-b294484ae462" xlink:to="loc_us-gaap_DerivativeAssetsCurrent_a7e0b358-50ca-488a-a914-21957d46022a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_3235c5c5-00d0-42ca-88d2-d533e87ceaf1" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PrepaidExpenseAndOtherAssetsCurrent"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsCurrentAbstract_8411e032-1835-499c-bfec-b294484ae462" xlink:to="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_3235c5c5-00d0-42ca-88d2-d533e87ceaf1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_d287f420-ed99-4f32-bd97-1c8a8c27ba63" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AssetsCurrent"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsCurrentAbstract_8411e032-1835-499c-bfec-b294484ae462" xlink:to="loc_us-gaap_AssetsCurrent_d287f420-ed99-4f32-bd97-1c8a8c27ba63" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_01f4e132-b664-4302-8a9c-1ff58f525de7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsAbstract_49a192cb-b5d4-4196-952f-69a3077ad42d" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentNet_01f4e132-b664-4302-8a9c-1ff58f525de7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_0d9d0653-6275-4636-b546-a9172895cdee" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_Goodwill"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsAbstract_49a192cb-b5d4-4196-952f-69a3077ad42d" xlink:to="loc_us-gaap_Goodwill_0d9d0653-6275-4636-b546-a9172895cdee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_8c187a16-a734-49eb-b369-c6dd58e55e2f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IntangibleAssetsNetExcludingGoodwill"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsAbstract_49a192cb-b5d4-4196-952f-69a3077ad42d" xlink:to="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_8c187a16-a734-49eb-b369-c6dd58e55e2f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAsset_151c4712-1c85-4d97-a196-04aebd937d4d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OperatingLeaseRightOfUseAsset"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsAbstract_49a192cb-b5d4-4196-952f-69a3077ad42d" xlink:to="loc_us-gaap_OperatingLeaseRightOfUseAsset_151c4712-1c85-4d97-a196-04aebd937d4d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Investments_7ece3f83-03ef-4faf-a912-0ce892f96bd7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_Investments"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsAbstract_49a192cb-b5d4-4196-952f-69a3077ad42d" xlink:to="loc_us-gaap_Investments_7ece3f83-03ef-4faf-a912-0ce892f96bd7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxAssetsNet_7c973c6d-1753-419d-828c-c8d00a2aeb07" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredIncomeTaxAssetsNet"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsAbstract_49a192cb-b5d4-4196-952f-69a3077ad42d" xlink:to="loc_us-gaap_DeferredIncomeTaxAssetsNet_7c973c6d-1753-419d-828c-c8d00a2aeb07" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssetsNoncurrent_e579ce98-0db0-4a62-a9b4-62bb8a0e2be2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeAssetsNoncurrent"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsAbstract_49a192cb-b5d4-4196-952f-69a3077ad42d" xlink:to="loc_us-gaap_DerivativeAssetsNoncurrent_e579ce98-0db0-4a62-a9b4-62bb8a0e2be2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAssetsNoncurrent_b6e4e613-0f18-4d55-83e2-3b654e5edfd3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherAssetsNoncurrent"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsAbstract_49a192cb-b5d4-4196-952f-69a3077ad42d" xlink:to="loc_us-gaap_OtherAssetsNoncurrent_b6e4e613-0f18-4d55-83e2-3b654e5edfd3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_6da153b2-84db-4300-93f9-f45c00ccc5d4" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_Assets"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsAbstract_49a192cb-b5d4-4196-952f-69a3077ad42d" xlink:to="loc_us-gaap_Assets_6da153b2-84db-4300-93f9-f45c00ccc5d4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_2b853c0b-c558-479d-8c05-ef404da5d959" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LiabilitiesAndStockholdersEquityAbstract"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_16994876-3d17-4b79-850f-157a9660bca1" xlink:to="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_2b853c0b-c558-479d-8c05-ef404da5d959" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrentAbstract_ca6281ee-0649-4d9d-bbb8-71f7cac2039c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LiabilitiesCurrentAbstract"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_2b853c0b-c558-479d-8c05-ef404da5d959" xlink:to="loc_us-gaap_LiabilitiesCurrentAbstract_ca6281ee-0649-4d9d-bbb8-71f7cac2039c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtCurrent_fec62eff-cdce-4f32-bf19-4688e2fb1824" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtCurrent"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesCurrentAbstract_ca6281ee-0649-4d9d-bbb8-71f7cac2039c" xlink:to="loc_us-gaap_DebtCurrent_fec62eff-cdce-4f32-bf19-4688e2fb1824" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsPayableCurrent_d632572c-38e3-4bb6-bdce-a413a81df1a3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccountsPayableCurrent"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesCurrentAbstract_ca6281ee-0649-4d9d-bbb8-71f7cac2039c" xlink:to="loc_us-gaap_AccountsPayableCurrent_d632572c-38e3-4bb6-bdce-a413a81df1a3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedLiabilitiesCurrent_732e6442-a5cc-46c9-9965-5b8cdc8cf483" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccruedLiabilitiesCurrent"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesCurrentAbstract_ca6281ee-0649-4d9d-bbb8-71f7cac2039c" xlink:to="loc_us-gaap_AccruedLiabilitiesCurrent_732e6442-a5cc-46c9-9965-5b8cdc8cf483" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilitiesCurrent_5d78f924-9c85-43b6-9c03-b893d724c2cb" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeLiabilitiesCurrent"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesCurrentAbstract_ca6281ee-0649-4d9d-bbb8-71f7cac2039c" xlink:to="loc_us-gaap_DerivativeLiabilitiesCurrent_5d78f924-9c85-43b6-9c03-b893d724c2cb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LitigationReserveCurrent_4b47e155-afee-4871-8a04-254aac032469" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LitigationReserveCurrent"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesCurrentAbstract_ca6281ee-0649-4d9d-bbb8-71f7cac2039c" xlink:to="loc_us-gaap_LitigationReserveCurrent_4b47e155-afee-4871-8a04-254aac032469" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TaxesPayableCurrent_15cf372b-b08f-464d-ab0e-cc8486f55374" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_TaxesPayableCurrent"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesCurrentAbstract_ca6281ee-0649-4d9d-bbb8-71f7cac2039c" xlink:to="loc_us-gaap_TaxesPayableCurrent_15cf372b-b08f-464d-ab0e-cc8486f55374" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredCompensationLiabilityCurrent_612a9f03-f232-4038-9a3a-6f59a35c6b2b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredCompensationLiabilityCurrent"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesCurrentAbstract_ca6281ee-0649-4d9d-bbb8-71f7cac2039c" xlink:to="loc_us-gaap_DeferredCompensationLiabilityCurrent_612a9f03-f232-4038-9a3a-6f59a35c6b2b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrent_5fe48333-549d-42f6-99af-d96c1f6edfa1" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LiabilitiesCurrent"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesCurrentAbstract_ca6281ee-0649-4d9d-bbb8-71f7cac2039c" xlink:to="loc_us-gaap_LiabilitiesCurrent_5fe48333-549d-42f6-99af-d96c1f6edfa1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtNoncurrent_27e7c6ab-1f52-4c0c-a4e0-bc628a556782" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongTermDebtNoncurrent"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_2b853c0b-c558-479d-8c05-ef404da5d959" xlink:to="loc_us-gaap_LongTermDebtNoncurrent_27e7c6ab-1f52-4c0c-a4e0-bc628a556782" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationContingentConsiderationLiability_8c3c7f8a-bde0-43a9-bc53-1ee69ac7e5ac" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationContingentConsiderationLiability"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_2b853c0b-c558-479d-8c05-ef404da5d959" xlink:to="loc_us-gaap_BusinessCombinationContingentConsiderationLiability_8c3c7f8a-bde0-43a9-bc53-1ee69ac7e5ac" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet_69668665-fa39-4622-afe0-20eb4018630b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredIncomeTaxLiabilitiesNet"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_2b853c0b-c558-479d-8c05-ef404da5d959" xlink:to="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet_69668665-fa39-4622-afe0-20eb4018630b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_4510cc1c-f6f2-473c-820d-2b0f27f1ba34" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OperatingLeaseLiabilityNoncurrent"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_2b853c0b-c558-479d-8c05-ef404da5d959" xlink:to="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_4510cc1c-f6f2-473c-820d-2b0f27f1ba34" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PensionAndOtherPostretirementDefinedBenefitPlansLiabilitiesNoncurrent_1f2808b5-b58b-4d2a-b44b-da514cc3eba0" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PensionAndOtherPostretirementDefinedBenefitPlansLiabilitiesNoncurrent"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_2b853c0b-c558-479d-8c05-ef404da5d959" xlink:to="loc_us-gaap_PensionAndOtherPostretirementDefinedBenefitPlansLiabilitiesNoncurrent_1f2808b5-b58b-4d2a-b44b-da514cc3eba0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilitiesNoncurrent_119c9d1f-cc73-4ee3-a42a-0297593fdfd2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeLiabilitiesNoncurrent"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_2b853c0b-c558-479d-8c05-ef404da5d959" xlink:to="loc_us-gaap_DerivativeLiabilitiesNoncurrent_119c9d1f-cc73-4ee3-a42a-0297593fdfd2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilitiesNoncurrent_a346c13e-f95e-49bb-8148-db47a8d0dfbe" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherLiabilitiesNoncurrent"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_2b853c0b-c558-479d-8c05-ef404da5d959" xlink:to="loc_us-gaap_OtherLiabilitiesNoncurrent_a346c13e-f95e-49bb-8148-db47a8d0dfbe" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_2cd42edc-1137-4718-97eb-7ad156c06c10" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_Liabilities"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_2b853c0b-c558-479d-8c05-ef404da5d959" xlink:to="loc_us-gaap_Liabilities_2cd42edc-1137-4718-97eb-7ad156c06c10" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingencies_644e5574-c875-4135-93ef-538b20dec1f0" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CommitmentsAndContingencies"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_2b853c0b-c558-479d-8c05-ef404da5d959" xlink:to="loc_us-gaap_CommitmentsAndContingencies_644e5574-c875-4135-93ef-538b20dec1f0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityAbstract_fd5ce62d-73f6-4d72-94c8-26e344a186ce" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StockholdersEquityAbstract"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_2b853c0b-c558-479d-8c05-ef404da5d959" xlink:to="loc_us-gaap_StockholdersEquityAbstract_fd5ce62d-73f6-4d72-94c8-26e344a186ce" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockValue_cb9dce97-b0ea-47c6-a0d2-53f6a604566b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CommonStockValue"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StockholdersEquityAbstract_fd5ce62d-73f6-4d72-94c8-26e344a186ce" xlink:to="loc_us-gaap_CommonStockValue_cb9dce97-b0ea-47c6-a0d2-53f6a604566b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapitalCommonStock_184dec89-431c-46e1-8076-46ff3ffb37c7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AdditionalPaidInCapitalCommonStock"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StockholdersEquityAbstract_fd5ce62d-73f6-4d72-94c8-26e344a186ce" xlink:to="loc_us-gaap_AdditionalPaidInCapitalCommonStock_184dec89-431c-46e1-8076-46ff3ffb37c7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_a9609469-c7ad-4464-b2c1-64961f5362e8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StockholdersEquityAbstract_fd5ce62d-73f6-4d72-94c8-26e344a186ce" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_a9609469-c7ad-4464-b2c1-64961f5362e8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit_77c0d5f2-8e72-45c1-8a1a-a774e279c3fe" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StockholdersEquityAbstract_fd5ce62d-73f6-4d72-94c8-26e344a186ce" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_77c0d5f2-8e72-45c1-8a1a-a774e279c3fe" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TreasuryStockValue_24e5b6ba-d483-4ad7-bb0d-c9b0cbcb4333" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_TreasuryStockValue"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StockholdersEquityAbstract_fd5ce62d-73f6-4d72-94c8-26e344a186ce" xlink:to="loc_us-gaap_TreasuryStockValue_24e5b6ba-d483-4ad7-bb0d-c9b0cbcb4333" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_8e8340e2-1c50-49ef-8787-3a9cb7e57af6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StockholdersEquity"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StockholdersEquityAbstract_fd5ce62d-73f6-4d72-94c8-26e344a186ce" xlink:to="loc_us-gaap_StockholdersEquity_8e8340e2-1c50-49ef-8787-3a9cb7e57af6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity_32c4ed0a-94a6-4c35-b314-029bb89f4456" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract_2b853c0b-c558-479d-8c05-ef404da5d959" xlink:to="loc_us-gaap_LiabilitiesAndStockholdersEquity_32c4ed0a-94a6-4c35-b314-029bb89f4456" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/CondensedConsolidatedBalanceSheetsParenthetical" xlink:type="simple" xlink:href="livn-20220630.xsd#CondensedConsolidatedBalanceSheetsParenthetical"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/CondensedConsolidatedBalanceSheetsParenthetical" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfFinancialPositionAbstract_47399b39-7445-41a7-9d87-b03ab0e61d09" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StatementOfFinancialPositionAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AllowanceForDoubtfulAccountsReceivableCurrent_6192bc8a-2c73-4911-954b-56d3e77cc56c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AllowanceForDoubtfulAccountsReceivableCurrent"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_47399b39-7445-41a7-9d87-b03ab0e61d09" xlink:to="loc_us-gaap_AllowanceForDoubtfulAccountsReceivableCurrent_6192bc8a-2c73-4911-954b-56d3e77cc56c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockParOrStatedValuePerShare_458c58a3-d9e4-46b7-9b29-2d350aa7681e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CommonStockParOrStatedValuePerShare"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_47399b39-7445-41a7-9d87-b03ab0e61d09" xlink:to="loc_us-gaap_CommonStockParOrStatedValuePerShare_458c58a3-d9e4-46b7-9b29-2d350aa7681e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesIssued_a1ef4932-582a-4747-8d80-53e8d7908d36" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CommonStockSharesIssued"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_47399b39-7445-41a7-9d87-b03ab0e61d09" xlink:to="loc_us-gaap_CommonStockSharesIssued_a1ef4932-582a-4747-8d80-53e8d7908d36" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesOutstanding_962bca21-ea0e-4888-9f7f-8d14580c326b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CommonStockSharesOutstanding"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_47399b39-7445-41a7-9d87-b03ab0e61d09" xlink:to="loc_us-gaap_CommonStockSharesOutstanding_962bca21-ea0e-4888-9f7f-8d14580c326b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TreasuryStockCommonShares_6046826d-ff00-4c02-b458-b7cdb88aa022" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_TreasuryStockCommonShares"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract_47399b39-7445-41a7-9d87-b03ab0e61d09" xlink:to="loc_us-gaap_TreasuryStockCommonShares_6046826d-ff00-4c02-b458-b7cdb88aa022" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/CondensedConsolidatedStatementsofCashFlows" xlink:type="simple" xlink:href="livn-20220630.xsd#CondensedConsolidatedStatementsofCashFlows"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/CondensedConsolidatedStatementsofCashFlows" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfCashFlowsAbstract_7f76c8d4-7491-43f5-ad91-5818784f7903" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StatementOfCashFlowsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_41ad0012-45f2-4f62-afc7-d0f1bdb46daa" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfCashFlowsAbstract_7f76c8d4-7491-43f5-ad91-5818784f7903" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_41ad0012-45f2-4f62-afc7-d0f1bdb46daa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_715c8865-076f-496b-bd46-4a7cd552fd21" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetIncomeLoss"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_41ad0012-45f2-4f62-afc7-d0f1bdb46daa" xlink:to="loc_us-gaap_NetIncomeLoss_715c8865-076f-496b-bd46-4a7cd552fd21" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_171cc213-8b5c-43f0-a1c8-17a144866bdc" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_41ad0012-45f2-4f62-afc7-d0f1bdb46daa" xlink:to="loc_us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_171cc213-8b5c-43f0-a1c8-17a144866bdc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationContingentConsiderationArrangementsChangeInAmountOfContingentConsiderationLiability1_98eb1358-a4c7-4e27-aa41-c19463051e29" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationContingentConsiderationArrangementsChangeInAmountOfContingentConsiderationLiability1"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_171cc213-8b5c-43f0-a1c8-17a144866bdc" xlink:to="loc_us-gaap_BusinessCombinationContingentConsiderationArrangementsChangeInAmountOfContingentConsiderationLiability1_98eb1358-a4c7-4e27-aa41-c19463051e29" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensation_185b0aea-1239-4ccc-afa9-9142373288f9" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ShareBasedCompensation"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_171cc213-8b5c-43f0-a1c8-17a144866bdc" xlink:to="loc_us-gaap_ShareBasedCompensation_185b0aea-1239-4ccc-afa9-9142373288f9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherDepreciationAndAmortization_388457b6-a41a-456c-9d45-576ab550c0fc" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherDepreciationAndAmortization"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_171cc213-8b5c-43f0-a1c8-17a144866bdc" xlink:to="loc_us-gaap_OtherDepreciationAndAmortization_388457b6-a41a-456c-9d45-576ab550c0fc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfFinancingCosts_ec27dc45-ecd2-4115-a507-2a0f333a8f94" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AmortizationOfFinancingCosts"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_171cc213-8b5c-43f0-a1c8-17a144866bdc" xlink:to="loc_us-gaap_AmortizationOfFinancingCosts_ec27dc45-ecd2-4115-a507-2a0f333a8f94" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Depreciation_6eb503cd-eca8-4800-96fb-39849c5de8b2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_Depreciation"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_171cc213-8b5c-43f0-a1c8-17a144866bdc" xlink:to="loc_us-gaap_Depreciation_6eb503cd-eca8-4800-96fb-39849c5de8b2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_RemeasurementOfCappedCallAndEmbeddedExchangeFeature_35d2d845-f71d-4c2f-ba9c-bbdca42220f9" xlink:href="livn-20220630.xsd#livn_RemeasurementOfCappedCallAndEmbeddedExchangeFeature"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_171cc213-8b5c-43f0-a1c8-17a144866bdc" xlink:to="loc_livn_RemeasurementOfCappedCallAndEmbeddedExchangeFeature_35d2d845-f71d-4c2f-ba9c-bbdca42220f9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense_d8ab071f-6a00-468d-bed5-5457bd58f31c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_171cc213-8b5c-43f0-a1c8-17a144866bdc" xlink:to="loc_us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense_d8ab071f-6a00-468d-bed5-5457bd58f31c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnrealizedGainLossOnInvestments_0a9ccb5d-5114-4f9d-8a91-00d688b01c9c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_UnrealizedGainLossOnInvestments"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_171cc213-8b5c-43f0-a1c8-17a144866bdc" xlink:to="loc_us-gaap_UnrealizedGainLossOnInvestments_0a9ccb5d-5114-4f9d-8a91-00d688b01c9c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_17689a64-2224-4404-849f-4d23337ffd77" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_171cc213-8b5c-43f0-a1c8-17a144866bdc" xlink:to="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_17689a64-2224-4404-849f-4d23337ffd77" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNoncashIncomeExpense_91280db0-7d0d-4148-9536-10de299d3851" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherNoncashIncomeExpense"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_171cc213-8b5c-43f0-a1c8-17a144866bdc" xlink:to="loc_us-gaap_OtherNoncashIncomeExpense_91280db0-7d0d-4148-9536-10de299d3851" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_59312b8a-ece7-47fd-b235-b180a1e9524d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncreaseDecreaseInOperatingCapitalAbstract"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_171cc213-8b5c-43f0-a1c8-17a144866bdc" xlink:to="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_59312b8a-ece7-47fd-b235-b180a1e9524d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsReceivable_d07d5e62-94c0-4cd7-b504-dd336c449af3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncreaseDecreaseInAccountsReceivable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_59312b8a-ece7-47fd-b235-b180a1e9524d" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsReceivable_d07d5e62-94c0-4cd7-b504-dd336c449af3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInInventories_eed8119b-1bde-47cc-b6a7-9db3efa4a352" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncreaseDecreaseInInventories"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_59312b8a-ece7-47fd-b235-b180a1e9524d" xlink:to="loc_us-gaap_IncreaseDecreaseInInventories_eed8119b-1bde-47cc-b6a7-9db3efa4a352" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherOperatingAssets_a00450b4-beb2-486f-8a5a-665a918bf719" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncreaseDecreaseInOtherOperatingAssets"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_59312b8a-ece7-47fd-b235-b180a1e9524d" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherOperatingAssets_a00450b4-beb2-486f-8a5a-665a918bf719" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_8c0d0d54-6a14-4e1a-9ed1-011041738d14" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_59312b8a-ece7-47fd-b235-b180a1e9524d" xlink:to="loc_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_8c0d0d54-6a14-4e1a-9ed1-011041738d14" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable_accf9401-897d-462c-912b-74c6a583d1d1" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_59312b8a-ece7-47fd-b235-b180a1e9524d" xlink:to="loc_us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable_accf9401-897d-462c-912b-74c6a583d1d1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_IncreaseDecreaseinLitigationReserve_b459153a-2c1b-4f5d-9e30-ed3821fb6b42" xlink:href="livn-20220630.xsd#livn_IncreaseDecreaseinLitigationReserve"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_59312b8a-ece7-47fd-b235-b180a1e9524d" xlink:to="loc_livn_IncreaseDecreaseinLitigationReserve_b459153a-2c1b-4f5d-9e30-ed3821fb6b42" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_86ac083e-c7fa-4d47-803d-a88ef784dca4" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_41ad0012-45f2-4f62-afc7-d0f1bdb46daa" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_86ac083e-c7fa-4d47-803d-a88ef784dca4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_7730cdaa-f311-4ce1-bf10-e6a377cdf26f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfCashFlowsAbstract_7f76c8d4-7491-43f5-ad91-5818784f7903" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_7730cdaa-f311-4ce1-bf10-e6a377cdf26f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_ba6ea403-7744-429c-920d-3ee81ff2ffcd" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PaymentsToAcquirePropertyPlantAndEquipment"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_7730cdaa-f311-4ce1-bf10-e6a377cdf26f" xlink:to="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_ba6ea403-7744-429c-920d-3ee81ff2ffcd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired_f942377a-8ecf-4d8d-a0db-70f17e1421c9" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_7730cdaa-f311-4ce1-bf10-e6a377cdf26f" xlink:to="loc_us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired_f942377a-8ecf-4d8d-a0db-70f17e1421c9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_PurchasesOfInvestments_a7e73c51-81da-4275-9938-71198624b25b" xlink:href="livn-20220630.xsd#livn_PurchasesOfInvestments"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_7730cdaa-f311-4ce1-bf10-e6a377cdf26f" xlink:to="loc_livn_PurchasesOfInvestments_a7e73c51-81da-4275-9938-71198624b25b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromDivestitureOfBusinessesNetOfCashDivested_bc0796c0-5335-4943-b6d0-704cf935a9c8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProceedsFromDivestitureOfBusinessesNetOfCashDivested"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_7730cdaa-f311-4ce1-bf10-e6a377cdf26f" xlink:to="loc_us-gaap_ProceedsFromDivestitureOfBusinessesNetOfCashDivested_bc0796c0-5335-4943-b6d0-704cf935a9c8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleOfEquityMethodInvestments_b09592a6-72b6-429c-9798-3455ce433cc9" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProceedsFromSaleOfEquityMethodInvestments"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_7730cdaa-f311-4ce1-bf10-e6a377cdf26f" xlink:to="loc_us-gaap_ProceedsFromSaleOfEquityMethodInvestments_b09592a6-72b6-429c-9798-3455ce433cc9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForProceedsFromOtherInvestingActivities_7433be03-58d0-4218-bdfd-c8d2dac24934" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PaymentsForProceedsFromOtherInvestingActivities"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_7730cdaa-f311-4ce1-bf10-e6a377cdf26f" xlink:to="loc_us-gaap_PaymentsForProceedsFromOtherInvestingActivities_7433be03-58d0-4218-bdfd-c8d2dac24934" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_e7562602-cb9c-45ff-b0ac-97f58bccc45c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_7730cdaa-f311-4ce1-bf10-e6a377cdf26f" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_e7562602-cb9c-45ff-b0ac-97f58bccc45c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_1081dab7-a3ae-4758-a275-d9e01753111f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfCashFlowsAbstract_7f76c8d4-7491-43f5-ad91-5818784f7903" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_1081dab7-a3ae-4758-a275-d9e01753111f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfLongTermDebt_a2e2e016-aafa-49f8-b872-b689b0fa5713" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProceedsFromIssuanceOfLongTermDebt"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_1081dab7-a3ae-4758-a275-d9e01753111f" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfLongTermDebt_a2e2e016-aafa-49f8-b872-b689b0fa5713" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDebtIssuanceCosts_067f308e-8381-4ca2-910e-60ea43c3f5b3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PaymentsOfDebtIssuanceCosts"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_1081dab7-a3ae-4758-a275-d9e01753111f" xlink:to="loc_us-gaap_PaymentsOfDebtIssuanceCosts_067f308e-8381-4ca2-910e-60ea43c3f5b3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForDerivativeInstrumentFinancingActivities_d091e537-f634-4696-831f-a8fc6134c850" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PaymentsForDerivativeInstrumentFinancingActivities"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_1081dab7-a3ae-4758-a275-d9e01753111f" xlink:to="loc_us-gaap_PaymentsForDerivativeInstrumentFinancingActivities_d091e537-f634-4696-831f-a8fc6134c850" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfSharesUnderIncentiveAndShareBasedCompensationPlans_076c50b8-8343-4737-9243-7066a32b1a7f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProceedsFromIssuanceOfSharesUnderIncentiveAndShareBasedCompensationPlans"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_1081dab7-a3ae-4758-a275-d9e01753111f" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfSharesUnderIncentiveAndShareBasedCompensationPlans_076c50b8-8343-4737-9243-7066a32b1a7f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentForContingentConsiderationLiabilityFinancingActivities_a7b35d3f-cd76-4a07-a677-21d136fd8423" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PaymentForContingentConsiderationLiabilityFinancingActivities"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_1081dab7-a3ae-4758-a275-d9e01753111f" xlink:to="loc_us-gaap_PaymentForContingentConsiderationLiabilityFinancingActivities_a7b35d3f-cd76-4a07-a677-21d136fd8423" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepaymentsOfLongTermDebt_4189315f-b97b-4dcb-9e33-cc1724e94fae" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RepaymentsOfLongTermDebt"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_1081dab7-a3ae-4758-a275-d9e01753111f" xlink:to="loc_us-gaap_RepaymentsOfLongTermDebt_4189315f-b97b-4dcb-9e33-cc1724e94fae" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_7761bc3f-b826-44b8-b57e-ab742b7839ac" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProceedsFromPaymentsForOtherFinancingActivities"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_1081dab7-a3ae-4758-a275-d9e01753111f" xlink:to="loc_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_7761bc3f-b826-44b8-b57e-ab742b7839ac" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8aa9a464-9e73-4262-8e38-a5856f8cc4fd" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_1081dab7-a3ae-4758-a275-d9e01753111f" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_8aa9a464-9e73-4262-8e38-a5856f8cc4fd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_768fa154-b6a0-41dc-942a-3b8313d26d45" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfCashFlowsAbstract_7f76c8d4-7491-43f5-ad91-5818784f7903" xlink:to="loc_us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_768fa154-b6a0-41dc-942a-3b8313d26d45" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_1cecbe28-4c18-4539-9dbc-c6f7a96e86ed" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfCashFlowsAbstract_7f76c8d4-7491-43f5-ad91-5818784f7903" xlink:to="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_1cecbe28-4c18-4539-9dbc-c6f7a96e86ed" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_02dc2cda-f3e4-4f42-96e8-ce6c2c93c0c4" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfCashFlowsAbstract_7f76c8d4-7491-43f5-ad91-5818784f7903" xlink:to="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_02dc2cda-f3e4-4f42-96e8-ce6c2c93c0c4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_3fa5f482-f69e-42e3-83fd-0ee68e66a24f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOfCashFlowsAbstract_7f76c8d4-7491-43f5-ad91-5818784f7903" xlink:to="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_3fa5f482-f69e-42e3-83fd-0ee68e66a24f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/UnauditedCondensedConsolidatedFinancialStatements" xlink:type="simple" xlink:href="livn-20220630.xsd#UnauditedCondensedConsolidatedFinancialStatements"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/UnauditedCondensedConsolidatedFinancialStatements" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountingPoliciesAbstract_315ff81d-853e-4731-9695-0425073a11cc" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccountingPoliciesAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock_017e7ae0-8cec-457a-a2af-9f813c817d57" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccountingPoliciesAbstract_315ff81d-853e-4731-9695-0425073a11cc" xlink:to="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock_017e7ae0-8cec-457a-a2af-9f813c817d57" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/UnauditedCondensedConsolidatedFinancialStatementsTables" xlink:type="simple" xlink:href="livn-20220630.xsd#UnauditedCondensedConsolidatedFinancialStatementsTables"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/UnauditedCondensedConsolidatedFinancialStatementsTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountingPoliciesAbstract_55f45998-aeff-4051-9499-9e995fd03167" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccountingPoliciesAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentsTextBlock_77cac596-392e-4af3-ad5d-d8cecdccce7a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentsTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccountingPoliciesAbstract_55f45998-aeff-4051-9499-9e995fd03167" xlink:to="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentsTextBlock_77cac596-392e-4af3-ad5d-d8cecdccce7a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/UnauditedCondensedConsolidatedFinancialStatementsPolicies" xlink:type="simple" xlink:href="livn-20220630.xsd#UnauditedCondensedConsolidatedFinancialStatementsPolicies"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/UnauditedCondensedConsolidatedFinancialStatementsPolicies" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountingPoliciesAbstract_0ddc4f41-7bdc-4df5-81af-f50c31bacb02" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccountingPoliciesAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BasisOfAccountingPolicyPolicyTextBlock_881d895a-4ec8-4950-a058-6a5e4e09baa8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BasisOfAccountingPolicyPolicyTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccountingPoliciesAbstract_0ddc4f41-7bdc-4df5-81af-f50c31bacb02" xlink:to="loc_us-gaap_BasisOfAccountingPolicyPolicyTextBlock_881d895a-4ec8-4950-a058-6a5e4e09baa8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PriorPeriodReclassificationAdjustmentDescription_080f0899-b54a-4937-86da-cd91c34d3c40" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PriorPeriodReclassificationAdjustmentDescription"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccountingPoliciesAbstract_0ddc4f41-7bdc-4df5-81af-f50c31bacb02" xlink:to="loc_us-gaap_PriorPeriodReclassificationAdjustmentDescription_080f0899-b54a-4937-86da-cd91c34d3c40" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsRestrictedCashAndCashEquivalentsPolicy_b908acce-9686-48e4-9889-71cb7519c214" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CashAndCashEquivalentsRestrictedCashAndCashEquivalentsPolicy"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccountingPoliciesAbstract_0ddc4f41-7bdc-4df5-81af-f50c31bacb02" xlink:to="loc_us-gaap_CashAndCashEquivalentsRestrictedCashAndCashEquivalentsPolicy_b908acce-9686-48e4-9889-71cb7519c214" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativesPolicyTextBlock_8839d5e1-89d4-48df-81c1-8705e57e8990" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativesPolicyTextBlock"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccountingPoliciesAbstract_0ddc4f41-7bdc-4df5-81af-f50c31bacb02" xlink:to="loc_us-gaap_DerivativesPolicyTextBlock_8839d5e1-89d4-48df-81c1-8705e57e8990" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/UnauditedCondensedConsolidatedFinancialStatementsNarrativeDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#UnauditedCondensedConsolidatedFinancialStatementsNarrativeDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/UnauditedCondensedConsolidatedFinancialStatementsNarrativeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountingPoliciesAbstract_7646846d-6f54-4fb2-86a8-ebcf30b111f7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccountingPoliciesAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_0fbad02c-08ce-41c4-91b3-dba34fbe29e1" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccountingPoliciesAbstract_7646846d-6f54-4fb2-86a8-ebcf30b111f7" xlink:to="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_0fbad02c-08ce-41c4-91b3-dba34fbe29e1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_LitigationCaseAxis_c1979105-600c-4773-a099-2de799ab2076" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_LitigationCaseAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_0fbad02c-08ce-41c4-91b3-dba34fbe29e1" xlink:to="loc_srt_LitigationCaseAxis_c1979105-600c-4773-a099-2de799ab2076" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_LitigationCaseTypeDomain_5cfc33ec-f9aa-4b83-9a0f-5d257c87dd76" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_LitigationCaseTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_LitigationCaseAxis_c1979105-600c-4773-a099-2de799ab2076" xlink:to="loc_srt_LitigationCaseTypeDomain_5cfc33ec-f9aa-4b83-9a0f-5d257c87dd76" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_SNIAMember_f7653e73-799d-47da-b911-9782f881d076" xlink:href="livn-20220630.xsd#livn_SNIAMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_LitigationCaseTypeDomain_5cfc33ec-f9aa-4b83-9a0f-5d257c87dd76" xlink:to="loc_livn_SNIAMember_f7653e73-799d-47da-b911-9782f881d076" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LitigationStatusAxis_175e9253-d9a1-45ef-856a-e3fbb2074bd4" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LitigationStatusAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_0fbad02c-08ce-41c4-91b3-dba34fbe29e1" xlink:to="loc_us-gaap_LitigationStatusAxis_175e9253-d9a1-45ef-856a-e3fbb2074bd4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LitigationStatusDomain_cd4ae483-51c4-4ec7-93b1-c52e197dff29" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LitigationStatusDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LitigationStatusAxis_175e9253-d9a1-45ef-856a-e3fbb2074bd4" xlink:to="loc_us-gaap_LitigationStatusDomain_cd4ae483-51c4-4ec7-93b1-c52e197dff29" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_JudicialRulingMember_6b55385f-1163-48bf-a33a-b14c25aa3c6e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_JudicialRulingMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LitigationStatusDomain_cd4ae483-51c4-4ec7-93b1-c52e197dff29" xlink:to="loc_us-gaap_JudicialRulingMember_6b55385f-1163-48bf-a33a-b14c25aa3c6e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingenciesByNatureOfContingencyAxis_58154b7a-49ad-4214-949c-2562a37ffa27" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingenciesByNatureOfContingencyAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_0fbad02c-08ce-41c4-91b3-dba34fbe29e1" xlink:to="loc_us-gaap_LossContingenciesByNatureOfContingencyAxis_58154b7a-49ad-4214-949c-2562a37ffa27" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingencyNatureDomain_e0559f08-f8e9-4dd6-8a47-5535ecb32693" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingencyNatureDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LossContingenciesByNatureOfContingencyAxis_58154b7a-49ad-4214-949c-2562a37ffa27" xlink:to="loc_us-gaap_LossContingencyNatureDomain_e0559f08-f8e9-4dd6-8a47-5535ecb32693" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SuretyBondMember_8939aedc-7472-4bc3-9234-a1e875f0d251" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SuretyBondMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LossContingencyNatureDomain_e0559f08-f8e9-4dd6-8a47-5535ecb32693" xlink:to="loc_us-gaap_SuretyBondMember_8939aedc-7472-4bc3-9234-a1e875f0d251" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeAxis_a542622d-6cff-4471-a0bf-50bb82311438" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongtermDebtTypeAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_0fbad02c-08ce-41c4-91b3-dba34fbe29e1" xlink:to="loc_us-gaap_LongtermDebtTypeAxis_a542622d-6cff-4471-a0bf-50bb82311438" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_d18176da-799c-481e-8fc7-2a305c5b4318" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_a542622d-6cff-4471-a0bf-50bb82311438" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_d18176da-799c-481e-8fc7-2a305c5b4318" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BridgeLoanMember_a6b5bbc1-7919-4700-aedf-6284ba9474cc" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BridgeLoanMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_d18176da-799c-481e-8fc7-2a305c5b4318" xlink:to="loc_us-gaap_BridgeLoanMember_a6b5bbc1-7919-4700-aedf-6284ba9474cc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConcentrationRiskByBenchmarkAxis_37a0f1eb-9cfd-442d-8c2a-79c4fe227af6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ConcentrationRiskByBenchmarkAxis"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_0fbad02c-08ce-41c4-91b3-dba34fbe29e1" xlink:to="loc_us-gaap_ConcentrationRiskByBenchmarkAxis_37a0f1eb-9cfd-442d-8c2a-79c4fe227af6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConcentrationRiskBenchmarkDomain_ad429881-9e29-4cf0-95ec-76c752f20bd2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ConcentrationRiskBenchmarkDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ConcentrationRiskByBenchmarkAxis_37a0f1eb-9cfd-442d-8c2a-79c4fe227af6" xlink:to="loc_us-gaap_ConcentrationRiskBenchmarkDomain_ad429881-9e29-4cf0-95ec-76c752f20bd2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SalesRevenueNetMember_383f48cc-d52e-4fa2-adcf-56d84b865079" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SalesRevenueNetMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ConcentrationRiskBenchmarkDomain_ad429881-9e29-4cf0-95ec-76c752f20bd2" xlink:to="loc_us-gaap_SalesRevenueNetMember_383f48cc-d52e-4fa2-adcf-56d84b865079" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConcentrationRiskByTypeAxis_8aa169cc-924e-48b5-90e9-534f0178b4d8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ConcentrationRiskByTypeAxis"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_0fbad02c-08ce-41c4-91b3-dba34fbe29e1" xlink:to="loc_us-gaap_ConcentrationRiskByTypeAxis_8aa169cc-924e-48b5-90e9-534f0178b4d8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConcentrationRiskTypeDomain_74df6150-4d85-4efe-96b4-c8a51739fecf" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ConcentrationRiskTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ConcentrationRiskByTypeAxis_8aa169cc-924e-48b5-90e9-534f0178b4d8" xlink:to="loc_us-gaap_ConcentrationRiskTypeDomain_74df6150-4d85-4efe-96b4-c8a51739fecf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GeographicConcentrationRiskMember_4e2f1568-efec-4ae6-a042-f9d4023c7a11" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_GeographicConcentrationRiskMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ConcentrationRiskTypeDomain_74df6150-4d85-4efe-96b4-c8a51739fecf" xlink:to="loc_us-gaap_GeographicConcentrationRiskMember_4e2f1568-efec-4ae6-a042-f9d4023c7a11" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_StatementGeographicalAxis_68c40b04-0604-44fc-8d3b-fa777c8dd434" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_StatementGeographicalAxis"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_0fbad02c-08ce-41c4-91b3-dba34fbe29e1" xlink:to="loc_srt_StatementGeographicalAxis_68c40b04-0604-44fc-8d3b-fa777c8dd434" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_SegmentGeographicalDomain_fe5673a0-ffd4-4ba8-8ea8-b55337e88ab4" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_SegmentGeographicalDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_StatementGeographicalAxis_68c40b04-0604-44fc-8d3b-fa777c8dd434" xlink:to="loc_srt_SegmentGeographicalDomain_fe5673a0-ffd4-4ba8-8ea8-b55337e88ab4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_country_RU_1f3d04b6-20a9-4811-b7f5-03ce68e22fc2" xlink:href="https://xbrl.sec.gov/country/2022/country-2022.xsd#country_RU"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_SegmentGeographicalDomain_fe5673a0-ffd4-4ba8-8ea8-b55337e88ab4" xlink:to="loc_country_RU_1f3d04b6-20a9-4811-b7f5-03ce68e22fc2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingInformationLineItems_264d3734-c473-4acd-8ec3-6e8b32bc17f6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SegmentReportingInformationLineItems"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_0fbad02c-08ce-41c4-91b3-dba34fbe29e1" xlink:to="loc_us-gaap_SegmentReportingInformationLineItems_264d3734-c473-4acd-8ec3-6e8b32bc17f6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConcentrationRiskPercentage1_adf71490-1375-4e61-8241-15e9ed04629e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ConcentrationRiskPercentage1"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_264d3734-c473-4acd-8ec3-6e8b32bc17f6" xlink:to="loc_us-gaap_ConcentrationRiskPercentage1_adf71490-1375-4e61-8241-15e9ed04629e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue_a1d1a2e5-678b-4588-8055-961186d4d3d8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_264d3734-c473-4acd-8ec3-6e8b32bc17f6" xlink:to="loc_us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue_a1d1a2e5-678b-4588-8055-961186d4d3d8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingencyAccrualPayments_ff1adaa8-938e-4ddb-9152-f91ed4cb50ba" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingencyAccrualPayments"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_264d3734-c473-4acd-8ec3-6e8b32bc17f6" xlink:to="loc_us-gaap_LossContingencyAccrualPayments_ff1adaa8-938e-4ddb-9152-f91ed4cb50ba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_LossContingencyAccrualPercentageOfCashCollateralRequiredAsGuarantee_4aec31d9-cb15-499d-9304-9086c8fdb738" xlink:href="livn-20220630.xsd#livn_LossContingencyAccrualPercentageOfCashCollateralRequiredAsGuarantee"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_264d3734-c473-4acd-8ec3-6e8b32bc17f6" xlink:to="loc_livn_LossContingencyAccrualPercentageOfCashCollateralRequiredAsGuarantee_4aec31d9-cb15-499d-9304-9086c8fdb738" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/UnauditedCondensedConsolidatedFinancialStatementsConsolidatedStatementsofIncomeDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#UnauditedCondensedConsolidatedFinancialStatementsConsolidatedStatementsofIncomeDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/UnauditedCondensedConsolidatedFinancialStatementsConsolidatedStatementsofIncomeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountingPoliciesAbstract_cef6b988-e805-4644-bb32-fbb26cc4086e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccountingPoliciesAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable_a43e01c9-8d32-44ed-afa2-f44f7346ae1e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccountingPoliciesAbstract_cef6b988-e805-4644-bb32-fbb26cc4086e" xlink:to="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable_a43e01c9-8d32-44ed-afa2-f44f7346ae1e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RestatementAxis_e13cc64a-db2d-44ad-994e-40b3e979a34c" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RestatementAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable_a43e01c9-8d32-44ed-afa2-f44f7346ae1e" xlink:to="loc_srt_RestatementAxis_e13cc64a-db2d-44ad-994e-40b3e979a34c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RestatementDomain_0f875541-809d-4d44-b68b-42efcfb36ad1" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RestatementDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RestatementAxis_e13cc64a-db2d-44ad-994e-40b3e979a34c" xlink:to="loc_srt_RestatementDomain_0f875541-809d-4d44-b68b-42efcfb36ad1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ScenarioPreviouslyReportedMember_0a158e8f-8e7f-401f-ba28-dc49585b7c39" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_ScenarioPreviouslyReportedMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RestatementDomain_0f875541-809d-4d44-b68b-42efcfb36ad1" xlink:to="loc_srt_ScenarioPreviouslyReportedMember_0a158e8f-8e7f-401f-ba28-dc49585b7c39" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RestatementAdjustmentMember_39527896-ae72-4145-9842-abae8b784779" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RestatementAdjustmentMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RestatementDomain_0f875541-809d-4d44-b68b-42efcfb36ad1" xlink:to="loc_srt_RestatementAdjustmentMember_39527896-ae72-4145-9842-abae8b784779" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_AsRevisedMember_3f193be6-0166-4a69-b48e-02743c38750d" xlink:href="livn-20220630.xsd#livn_AsRevisedMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RestatementDomain_0f875541-809d-4d44-b68b-42efcfb36ad1" xlink:to="loc_livn_AsRevisedMember_3f193be6-0166-4a69-b48e-02743c38750d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_4d7a066d-bfad-4ed9-93d7-cb795978e38c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable_a43e01c9-8d32-44ed-afa2-f44f7346ae1e" xlink:to="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_4d7a066d-bfad-4ed9-93d7-cb795978e38c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CostOfGoodsAndServicesSold_d3b7f1e2-0d61-4792-8d10-0884e420a110" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CostOfGoodsAndServicesSold"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_4d7a066d-bfad-4ed9-93d7-cb795978e38c" xlink:to="loc_us-gaap_CostOfGoodsAndServicesSold_d3b7f1e2-0d61-4792-8d10-0884e420a110" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_aff04ad3-c7dc-4dae-93eb-7e62b98e01c2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_4d7a066d-bfad-4ed9-93d7-cb795978e38c" xlink:to="loc_us-gaap_OperatingIncomeLoss_aff04ad3-c7dc-4dae-93eb-7e62b98e01c2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_d6089456-f070-44c8-9b12-426033e4bdf9" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_4d7a066d-bfad-4ed9-93d7-cb795978e38c" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_d6089456-f070-44c8-9b12-426033e4bdf9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_9019f825-f757-4062-b877-033df45e173b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_4d7a066d-bfad-4ed9-93d7-cb795978e38c" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_9019f825-f757-4062-b877-033df45e173b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_3af808fc-1cb5-4efa-9667-5e1a96ec9240" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetIncomeLoss"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_4d7a066d-bfad-4ed9-93d7-cb795978e38c" xlink:to="loc_us-gaap_NetIncomeLoss_3af808fc-1cb5-4efa-9667-5e1a96ec9240" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareBasic_573bd80b-0d2d-4a96-901f-e55bd199377f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EarningsPerShareBasic"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_4d7a066d-bfad-4ed9-93d7-cb795978e38c" xlink:to="loc_us-gaap_EarningsPerShareBasic_573bd80b-0d2d-4a96-901f-e55bd199377f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareDiluted_1e2528e1-7a60-4e67-b39b-2c1003bff0b4" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EarningsPerShareDiluted"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_4d7a066d-bfad-4ed9-93d7-cb795978e38c" xlink:to="loc_us-gaap_EarningsPerShareDiluted_1e2528e1-7a60-4e67-b39b-2c1003bff0b4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/UnauditedCondensedConsolidatedFinancialStatementsConsolidatedStatementsofComprehensiveIncomeLossDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#UnauditedCondensedConsolidatedFinancialStatementsConsolidatedStatementsofComprehensiveIncomeLossDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/UnauditedCondensedConsolidatedFinancialStatementsConsolidatedStatementsofComprehensiveIncomeLossDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract_5d6246e0-36a1-437a-90e4-0a7dd2bf3c0b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable_500b3509-c8e0-4141-94e4-84dbe0d1d7fd" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract_5d6246e0-36a1-437a-90e4-0a7dd2bf3c0b" xlink:to="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable_500b3509-c8e0-4141-94e4-84dbe0d1d7fd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RestatementAxis_45660793-eaa1-4377-b902-08781dcbc2b1" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RestatementAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable_500b3509-c8e0-4141-94e4-84dbe0d1d7fd" xlink:to="loc_srt_RestatementAxis_45660793-eaa1-4377-b902-08781dcbc2b1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RestatementDomain_8cfca701-6e63-434a-8389-24811475e663" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RestatementDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RestatementAxis_45660793-eaa1-4377-b902-08781dcbc2b1" xlink:to="loc_srt_RestatementDomain_8cfca701-6e63-434a-8389-24811475e663" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ScenarioPreviouslyReportedMember_280f24d0-1a62-4cd0-9179-6bf4114c24db" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_ScenarioPreviouslyReportedMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RestatementDomain_8cfca701-6e63-434a-8389-24811475e663" xlink:to="loc_srt_ScenarioPreviouslyReportedMember_280f24d0-1a62-4cd0-9179-6bf4114c24db" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RestatementAdjustmentMember_fce713d8-6db3-4cd7-8ee2-9b678e074f84" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RestatementAdjustmentMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RestatementDomain_8cfca701-6e63-434a-8389-24811475e663" xlink:to="loc_srt_RestatementAdjustmentMember_fce713d8-6db3-4cd7-8ee2-9b678e074f84" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_AsRevisedMember_2ff7ba28-b173-4321-a91b-9c6143cc7ed2" xlink:href="livn-20220630.xsd#livn_AsRevisedMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RestatementDomain_8cfca701-6e63-434a-8389-24811475e663" xlink:to="loc_livn_AsRevisedMember_2ff7ba28-b173-4321-a91b-9c6143cc7ed2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_324da2a2-7303-4129-9bd2-0805cd98f54c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable_500b3509-c8e0-4141-94e4-84dbe0d1d7fd" xlink:to="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_324da2a2-7303-4129-9bd2-0805cd98f54c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_8a533b14-747a-437b-9911-dc0a9d8d2a11" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetIncomeLoss"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_324da2a2-7303-4129-9bd2-0805cd98f54c" xlink:to="loc_us-gaap_NetIncomeLoss_8a533b14-747a-437b-9911-dc0a9d8d2a11" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTax_db345e2a-f7b4-40f9-8f79-9d7f93a0a49e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ComprehensiveIncomeNetOfTax"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_324da2a2-7303-4129-9bd2-0805cd98f54c" xlink:to="loc_us-gaap_ComprehensiveIncomeNetOfTax_db345e2a-f7b4-40f9-8f79-9d7f93a0a49e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/UnauditedCondensedConsolidatedFinancialStatementsConsolidatedStatementsofStockholdersEquityDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#UnauditedCondensedConsolidatedFinancialStatementsConsolidatedStatementsofStockholdersEquityDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/UnauditedCondensedConsolidatedFinancialStatementsConsolidatedStatementsofStockholdersEquityDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract_e70ca4c8-2a33-414e-87af-6e7da07c6fe6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable_328f1c9a-8108-4fa8-ac23-bd6b51bb2b64" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract_e70ca4c8-2a33-414e-87af-6e7da07c6fe6" xlink:to="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable_328f1c9a-8108-4fa8-ac23-bd6b51bb2b64" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementEquityComponentsAxis_0db32376-b586-4760-b584-9df9aa408c60" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StatementEquityComponentsAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable_328f1c9a-8108-4fa8-ac23-bd6b51bb2b64" xlink:to="loc_us-gaap_StatementEquityComponentsAxis_0db32376-b586-4760-b584-9df9aa408c60" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityComponentDomain_88724849-787c-4648-a5f9-3b67caa92799" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EquityComponentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementEquityComponentsAxis_0db32376-b586-4760-b584-9df9aa408c60" xlink:to="loc_us-gaap_EquityComponentDomain_88724849-787c-4648-a5f9-3b67caa92799" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsMember_93a9cba3-511a-485d-8ba0-11c63996f205" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RetainedEarningsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityComponentDomain_88724849-787c-4648-a5f9-3b67caa92799" xlink:to="loc_us-gaap_RetainedEarningsMember_93a9cba3-511a-485d-8ba0-11c63996f205" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RestatementAxis_1b5b3b9a-ef84-49e4-84e2-58dd002c96eb" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RestatementAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable_328f1c9a-8108-4fa8-ac23-bd6b51bb2b64" xlink:to="loc_srt_RestatementAxis_1b5b3b9a-ef84-49e4-84e2-58dd002c96eb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RestatementDomain_2b787cea-ce5c-45f7-a924-0fdeff0e1536" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RestatementDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RestatementAxis_1b5b3b9a-ef84-49e4-84e2-58dd002c96eb" xlink:to="loc_srt_RestatementDomain_2b787cea-ce5c-45f7-a924-0fdeff0e1536" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ScenarioPreviouslyReportedMember_59bcc7bb-ecbb-4f70-8185-b615b6fe3e8e" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_ScenarioPreviouslyReportedMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RestatementDomain_2b787cea-ce5c-45f7-a924-0fdeff0e1536" xlink:to="loc_srt_ScenarioPreviouslyReportedMember_59bcc7bb-ecbb-4f70-8185-b615b6fe3e8e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RestatementAdjustmentMember_9f5e8055-3102-4746-be58-0b2cd5ceea5e" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RestatementAdjustmentMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RestatementDomain_2b787cea-ce5c-45f7-a924-0fdeff0e1536" xlink:to="loc_srt_RestatementAdjustmentMember_9f5e8055-3102-4746-be58-0b2cd5ceea5e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_AsRevisedMember_f3d10dad-f718-4662-9eaf-cea8631cbf77" xlink:href="livn-20220630.xsd#livn_AsRevisedMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RestatementDomain_2b787cea-ce5c-45f7-a924-0fdeff0e1536" xlink:to="loc_livn_AsRevisedMember_f3d10dad-f718-4662-9eaf-cea8631cbf77" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_e46b4926-0b12-41e4-93ad-9c64ba9962f7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable_328f1c9a-8108-4fa8-ac23-bd6b51bb2b64" xlink:to="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_e46b4926-0b12-41e4-93ad-9c64ba9962f7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_fa4cb290-67d6-455d-95a2-f5284c35c82c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StockholdersEquity"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_e46b4926-0b12-41e4-93ad-9c64ba9962f7" xlink:to="loc_us-gaap_StockholdersEquity_fa4cb290-67d6-455d-95a2-f5284c35c82c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/UnauditedCondensedConsolidatedFinancialStatementsConsolidatedStatementsofCashFlowsDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#UnauditedCondensedConsolidatedFinancialStatementsConsolidatedStatementsofCashFlowsDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/UnauditedCondensedConsolidatedFinancialStatementsConsolidatedStatementsofCashFlowsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract_7eae3acd-74b7-4adb-9915-ef93f09b6b0d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable_09f25d07-e807-4e9c-a852-2ad66c8ccb41" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract_7eae3acd-74b7-4adb-9915-ef93f09b6b0d" xlink:to="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable_09f25d07-e807-4e9c-a852-2ad66c8ccb41" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RestatementAxis_f6a23848-0992-4ce2-90c5-39e7f58ee5df" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RestatementAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable_09f25d07-e807-4e9c-a852-2ad66c8ccb41" xlink:to="loc_srt_RestatementAxis_f6a23848-0992-4ce2-90c5-39e7f58ee5df" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RestatementDomain_ef87532e-b81d-4396-8047-8bf9c4f9729b" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RestatementDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RestatementAxis_f6a23848-0992-4ce2-90c5-39e7f58ee5df" xlink:to="loc_srt_RestatementDomain_ef87532e-b81d-4396-8047-8bf9c4f9729b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ScenarioPreviouslyReportedMember_1851c80f-9d09-45bd-a824-980ccd9bb8fc" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_ScenarioPreviouslyReportedMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RestatementDomain_ef87532e-b81d-4396-8047-8bf9c4f9729b" xlink:to="loc_srt_ScenarioPreviouslyReportedMember_1851c80f-9d09-45bd-a824-980ccd9bb8fc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RestatementAdjustmentMember_24cbefca-2380-477c-90cb-b8840d5f05a5" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RestatementAdjustmentMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RestatementDomain_ef87532e-b81d-4396-8047-8bf9c4f9729b" xlink:to="loc_srt_RestatementAdjustmentMember_24cbefca-2380-477c-90cb-b8840d5f05a5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_AsRevisedMember_f8c78689-5d85-4db6-9632-cb3bf18ab009" xlink:href="livn-20220630.xsd#livn_AsRevisedMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RestatementDomain_ef87532e-b81d-4396-8047-8bf9c4f9729b" xlink:to="loc_livn_AsRevisedMember_f8c78689-5d85-4db6-9632-cb3bf18ab009" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_36351aee-4d5e-4185-9504-9972e786347e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentRestatementTable_09f25d07-e807-4e9c-a852-2ad66c8ccb41" xlink:to="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_36351aee-4d5e-4185-9504-9972e786347e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_d9dff2df-78ed-4406-9ac6-4ee4532f33a7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetIncomeLoss"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_36351aee-4d5e-4185-9504-9972e786347e" xlink:to="loc_us-gaap_NetIncomeLoss_d9dff2df-78ed-4406-9ac6-4ee4532f33a7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_392a93c9-c66c-4b9e-b4be-0d0eed57f424" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_36351aee-4d5e-4185-9504-9972e786347e" xlink:to="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_392a93c9-c66c-4b9e-b4be-0d0eed57f424" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInInventories_cc24ae46-903f-4e88-bef6-d13ca6cc371a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncreaseDecreaseInInventories"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_36351aee-4d5e-4185-9504-9972e786347e" xlink:to="loc_us-gaap_IncreaseDecreaseInInventories_cc24ae46-903f-4e88-bef6-d13ca6cc371a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_b864b829-6bbe-4413-932d-a13588d3859d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementLineItems_36351aee-4d5e-4185-9504-9972e786347e" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_b864b829-6bbe-4413-932d-a13588d3859d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/BusinessCombinations" xlink:type="simple" xlink:href="livn-20220630.xsd#BusinessCombinations"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/BusinessCombinations" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract_65693016-00b4-40cc-8b48-930fb71bb0b4" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationAndAssetAcquisitionAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationDisclosureTextBlock_6529c21e-3c3e-4f45-9b01-e7047f484f36" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract_65693016-00b4-40cc-8b48-930fb71bb0b4" xlink:to="loc_us-gaap_BusinessCombinationDisclosureTextBlock_6529c21e-3c3e-4f45-9b01-e7047f484f36" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/BusinessCombinationsTables" xlink:type="simple" xlink:href="livn-20220630.xsd#BusinessCombinationsTables"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/BusinessCombinationsTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract_3389203c-57c9-48ba-b952-b97e975533c8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationAndAssetAcquisitionAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTextBlock_29bfa63e-e55d-4bdf-a256-6e2d81f5f512" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract_3389203c-57c9-48ba-b952-b97e975533c8" xlink:to="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTextBlock_29bfa63e-e55d-4bdf-a256-6e2d81f5f512" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock_2cf5f48d-8009-4517-b8c5-facf8bbbbd34" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract_3389203c-57c9-48ba-b952-b97e975533c8" xlink:to="loc_us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock_2cf5f48d-8009-4517-b8c5-facf8bbbbd34" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_93a77407-ada4-47e5-9693-7f2b28ca534a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract_3389203c-57c9-48ba-b952-b97e975533c8" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_93a77407-ada4-47e5-9693-7f2b28ca534a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/BusinessCombinationsNarrativeDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#BusinessCombinationsNarrativeDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/BusinessCombinationsNarrativeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract_d9f31184-7b21-400c-9e1a-6fe4fe1eb04f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationAndAssetAcquisitionAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_81f8c24b-4b80-4bdc-817e-41b3bb7a14d7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract_d9f31184-7b21-400c-9e1a-6fe4fe1eb04f" xlink:to="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_81f8c24b-4b80-4bdc-817e-41b3bb7a14d7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeAxis_a32a71b9-4c19-440a-9ff2-644dcf238cf1" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_81f8c24b-4b80-4bdc-817e-41b3bb7a14d7" xlink:to="loc_us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeAxis_a32a71b9-4c19-440a-9ff2-644dcf238cf1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeDomain_faa14ef3-af30-4622-a3f7-42fe3d9d2dc7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeAxis_a32a71b9-4c19-440a-9ff2-644dcf238cf1" xlink:to="loc_us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeDomain_faa14ef3-af30-4622-a3f7-42fe3d9d2dc7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ALungTechnologiesInc.Member_ada77e19-00ca-4d15-bdbe-8777c2dca45a" xlink:href="livn-20220630.xsd#livn_ALungTechnologiesInc.Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeDomain_faa14ef3-af30-4622-a3f7-42fe3d9d2dc7" xlink:to="loc_livn_ALungTechnologiesInc.Member_ada77e19-00ca-4d15-bdbe-8777c2dca45a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_4cd77200-6896-4971-b579-323f79522b69" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_81f8c24b-4b80-4bdc-817e-41b3bb7a14d7" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_4cd77200-6896-4971-b579-323f79522b69" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_4b7d1963-bc88-46b7-b0b4-488ec08a3be7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_4cd77200-6896-4971-b579-323f79522b69" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_4b7d1963-bc88-46b7-b0b4-488ec08a3be7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ALungTechnologiesInc.Member_2f6936be-09cd-4357-99d0-63f29417e312" xlink:href="livn-20220630.xsd#livn_ALungTechnologiesInc.Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_4b7d1963-bc88-46b7-b0b4-488ec08a3be7" xlink:to="loc_livn_ALungTechnologiesInc.Member_2f6936be-09cd-4357-99d0-63f29417e312" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionLineItems_3237291a-a142-4415-a293-f0610b3bce7e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionLineItems"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_81f8c24b-4b80-4bdc-817e-41b3bb7a14d7" xlink:to="loc_us-gaap_BusinessAcquisitionLineItems_3237291a-a142-4415-a293-f0610b3bce7e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationStepAcquisitionEquityInterestInAcquireePercentage_e14d1650-5886-488e-9cdb-03ad5d9728bd" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationStepAcquisitionEquityInterestInAcquireePercentage"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_3237291a-a142-4415-a293-f0610b3bce7e" xlink:to="loc_us-gaap_BusinessCombinationStepAcquisitionEquityInterestInAcquireePercentage_e14d1650-5886-488e-9cdb-03ad5d9728bd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired_1b3ecb2b-f0e6-4e3a-8936-d115008c380b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_3237291a-a142-4415-a293-f0610b3bce7e" xlink:to="loc_us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired_1b3ecb2b-f0e6-4e3a-8936-d115008c380b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_BusinessCombinationMaximumConsideration_6815f109-eaee-4f6f-8bb9-12f498425cd6" xlink:href="livn-20220630.xsd#livn_BusinessCombinationMaximumConsideration"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_3237291a-a142-4415-a293-f0610b3bce7e" xlink:to="loc_livn_BusinessCombinationMaximumConsideration_6815f109-eaee-4f6f-8bb9-12f498425cd6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireBusinessesGross_a2fdea1c-de6c-487e-9865-69bad6379cf3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PaymentsToAcquireBusinessesGross"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_3237291a-a142-4415-a293-f0610b3bce7e" xlink:to="loc_us-gaap_PaymentsToAcquireBusinessesGross_a2fdea1c-de6c-487e-9865-69bad6379cf3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationContingentConsiderationArrangementsRangeOfOutcomesValueHigh_b0e48e94-eb48-4daf-aa7f-5f66f6abcc5e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationContingentConsiderationArrangementsRangeOfOutcomesValueHigh"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_3237291a-a142-4415-a293-f0610b3bce7e" xlink:to="loc_us-gaap_BusinessCombinationContingentConsiderationArrangementsRangeOfOutcomesValueHigh_b0e48e94-eb48-4daf-aa7f-5f66f6abcc5e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAcquisitionRelatedCosts_270ba301-d103-4acf-b5e2-766e37fba82e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationAcquisitionRelatedCosts"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_3237291a-a142-4415-a293-f0610b3bce7e" xlink:to="loc_us-gaap_BusinessCombinationAcquisitionRelatedCosts_270ba301-d103-4acf-b5e2-766e37fba82e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/BusinessCombinationsFairValueofConsiderationTransferredDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#BusinessCombinationsFairValueofConsiderationTransferredDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/BusinessCombinationsFairValueofConsiderationTransferredDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract_df39dfa3-24a6-450b-a651-82c12ea9c433" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationAndAssetAcquisitionAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_c1779427-36c9-40e4-878b-2a8471d5a6b4" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract_df39dfa3-24a6-450b-a651-82c12ea9c433" xlink:to="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_c1779427-36c9-40e4-878b-2a8471d5a6b4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_8d6c2b8b-756e-4d0a-813a-636a395b6970" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_c1779427-36c9-40e4-878b-2a8471d5a6b4" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_8d6c2b8b-756e-4d0a-813a-636a395b6970" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_aeb8c6b9-18d5-4d3e-a0e5-263221ec988c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_8d6c2b8b-756e-4d0a-813a-636a395b6970" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_aeb8c6b9-18d5-4d3e-a0e5-263221ec988c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ALungTechnologiesInc.Member_91cb093a-c3b9-4282-a874-f4b90df369ad" xlink:href="livn-20220630.xsd#livn_ALungTechnologiesInc.Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_aeb8c6b9-18d5-4d3e-a0e5-263221ec988c" xlink:to="loc_livn_ALungTechnologiesInc.Member_91cb093a-c3b9-4282-a874-f4b90df369ad" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionLineItems_78d20662-ba88-431c-a9c0-b4b36b94d8be" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_c1779427-36c9-40e4-878b-2a8471d5a6b4" xlink:to="loc_us-gaap_BusinessAcquisitionLineItems_78d20662-ba88-431c-a9c0-b4b36b94d8be" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireBusinessesGross_a2000a0c-9f42-4d64-8f41-3bbb93f90072" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PaymentsToAcquireBusinessesGross"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_78d20662-ba88-431c-a9c0-b4b36b94d8be" xlink:to="loc_us-gaap_PaymentsToAcquireBusinessesGross_a2000a0c-9f42-4d64-8f41-3bbb93f90072" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationConsiderationTransferredLiabilitiesIncurred_01cd5b86-a716-42e5-9fa6-418b2af052a4" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationConsiderationTransferredLiabilitiesIncurred"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_78d20662-ba88-431c-a9c0-b4b36b94d8be" xlink:to="loc_us-gaap_BusinessCombinationConsiderationTransferredLiabilitiesIncurred_01cd5b86-a716-42e5-9fa6-418b2af052a4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationConsiderationTransferred1_cadb5cd2-b791-49bd-81aa-af51f089651a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationConsiderationTransferred1"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_78d20662-ba88-431c-a9c0-b4b36b94d8be" xlink:to="loc_us-gaap_BusinessCombinationConsiderationTransferred1_cadb5cd2-b791-49bd-81aa-af51f089651a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/BusinessCombinationsPurchasePriceAllocationDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#BusinessCombinationsPurchasePriceAllocationDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/BusinessCombinationsPurchasePriceAllocationDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract_9cd66d2d-5386-48bd-b8f8-0a91344cf54a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationAndAssetAcquisitionAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_999a18b0-3c76-4dda-94f0-6e7395f3d3cc" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract_9cd66d2d-5386-48bd-b8f8-0a91344cf54a" xlink:to="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_999a18b0-3c76-4dda-94f0-6e7395f3d3cc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_4f1fec80-ec50-401f-baf3-d22c9cff7c27" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_999a18b0-3c76-4dda-94f0-6e7395f3d3cc" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_4f1fec80-ec50-401f-baf3-d22c9cff7c27" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_98427e7f-31e9-48bc-a2e5-94dc21b10a2c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_4f1fec80-ec50-401f-baf3-d22c9cff7c27" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_98427e7f-31e9-48bc-a2e5-94dc21b10a2c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ALungTechnologiesInc.Member_928235fd-0895-472d-85af-5e6d67f8e512" xlink:href="livn-20220630.xsd#livn_ALungTechnologiesInc.Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_98427e7f-31e9-48bc-a2e5-94dc21b10a2c" xlink:to="loc_livn_ALungTechnologiesInc.Member_928235fd-0895-472d-85af-5e6d67f8e512" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionLineItems_a4257f46-ee09-4c80-ab12-ec532c0c6819" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_999a18b0-3c76-4dda-94f0-6e7395f3d3cc" xlink:to="loc_us-gaap_BusinessAcquisitionLineItems_a4257f46-ee09-4c80-ab12-ec532c0c6819" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill_8311a0c0-783c-4549-a513-f5092f6941b5" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_a4257f46-ee09-4c80-ab12-ec532c0c6819" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill_8311a0c0-783c-4549-a513-f5092f6941b5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_cf92821a-2b10-43ce-93e1-1374d6de347d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_Goodwill"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_a4257f46-ee09-4c80-ab12-ec532c0c6819" xlink:to="loc_us-gaap_Goodwill_cf92821a-2b10-43ce-93e1-1374d6de347d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAssetsAndLiabilitiesNet_b64c2591-6452-4e27-bf5f-6381f5f9175e" xlink:href="livn-20220630.xsd#livn_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAssetsAndLiabilitiesNet"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_a4257f46-ee09-4c80-ab12-ec532c0c6819" xlink:to="loc_livn_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAssetsAndLiabilitiesNet_b64c2591-6452-4e27-bf5f-6381f5f9175e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_8192431b-44a1-477c-8110-fa3c28ce0ab6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_a4257f46-ee09-4c80-ab12-ec532c0c6819" xlink:to="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_8192431b-44a1-477c-8110-fa3c28ce0ab6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AcquiredFiniteLivedIntangibleAssetsWeightedAverageUsefulLife_e3f9f5d6-c9e0-4ac9-89e1-ca8f6d03cb0b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AcquiredFiniteLivedIntangibleAssetsWeightedAverageUsefulLife"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_a4257f46-ee09-4c80-ab12-ec532c0c6819" xlink:to="loc_us-gaap_AcquiredFiniteLivedIntangibleAssetsWeightedAverageUsefulLife_e3f9f5d6-c9e0-4ac9-89e1-ca8f6d03cb0b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/BusinessCombinationsSalesbasedEarnoutDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#BusinessCombinationsSalesbasedEarnoutDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/BusinessCombinationsSalesbasedEarnoutDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract_85bcc5c0-1f73-4f08-a3b3-7b4a4daaa443" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationAndAssetAcquisitionAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_2bc04841-f0b4-4a28-a064-bfc77a63cc9a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract_85bcc5c0-1f73-4f08-a3b3-7b4a4daaa443" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_2bc04841-f0b4-4a28-a064-bfc77a63cc9a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputTypeAxis_77c271b8-059d-4397-b982-1409afe1aa84" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_MeasurementInputTypeAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_2bc04841-f0b4-4a28-a064-bfc77a63cc9a" xlink:to="loc_us-gaap_MeasurementInputTypeAxis_77c271b8-059d-4397-b982-1409afe1aa84" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputTypeDomain_33f05384-26fa-4582-9188-f26055dd2c58" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_MeasurementInputTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MeasurementInputTypeAxis_77c271b8-059d-4397-b982-1409afe1aa84" xlink:to="loc_us-gaap_MeasurementInputTypeDomain_33f05384-26fa-4582-9188-f26055dd2c58" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputRiskFreeInterestRateMember_70ba82af-6c04-4a9c-b572-2092729694b4" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_MeasurementInputRiskFreeInterestRateMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MeasurementInputTypeDomain_33f05384-26fa-4582-9188-f26055dd2c58" xlink:to="loc_us-gaap_MeasurementInputRiskFreeInterestRateMember_70ba82af-6c04-4a9c-b572-2092729694b4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputEntityCreditRiskMember_b4f72e36-08e5-4fff-8d75-b8f033a26564" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_MeasurementInputEntityCreditRiskMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MeasurementInputTypeDomain_33f05384-26fa-4582-9188-f26055dd2c58" xlink:to="loc_us-gaap_MeasurementInputEntityCreditRiskMember_b4f72e36-08e5-4fff-8d75-b8f033a26564" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputPriceVolatilityMember_283b8f03-581f-4130-9aa4-0e6d8faaaa15" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_MeasurementInputPriceVolatilityMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MeasurementInputTypeDomain_33f05384-26fa-4582-9188-f26055dd2c58" xlink:to="loc_us-gaap_MeasurementInputPriceVolatilityMember_283b8f03-581f-4130-9aa4-0e6d8faaaa15" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_f2664e89-73c5-4532-a369-0f896b927c43" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_2bc04841-f0b4-4a28-a064-bfc77a63cc9a" xlink:to="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_f2664e89-73c5-4532-a369-0f896b927c43" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_e71ab94b-16f0-4202-aff2-2a67c44d8fa3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_f2664e89-73c5-4532-a369-0f896b927c43" xlink:to="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_e71ab94b-16f0-4202-aff2-2a67c44d8fa3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel3Member_330169e0-274f-4eef-971e-798d45ae3c31" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueInputsLevel3Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_e71ab94b-16f0-4202-aff2-2a67c44d8fa3" xlink:to="loc_us-gaap_FairValueInputsLevel3Member_330169e0-274f-4eef-971e-798d45ae3c31" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeAxis_29664851-f836-4d45-868c-ec7cef5f1432" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RangeAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_2bc04841-f0b4-4a28-a064-bfc77a63cc9a" xlink:to="loc_srt_RangeAxis_29664851-f836-4d45-868c-ec7cef5f1432" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember_cfc9d19e-5a73-4c66-9a81-36ed98326f1b" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RangeMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeAxis_29664851-f836-4d45-868c-ec7cef5f1432" xlink:to="loc_srt_RangeMember_cfc9d19e-5a73-4c66-9a81-36ed98326f1b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MinimumMember_634a118b-64dc-4aff-96eb-67236be7277e" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_MinimumMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeMember_cfc9d19e-5a73-4c66-9a81-36ed98326f1b" xlink:to="loc_srt_MinimumMember_634a118b-64dc-4aff-96eb-67236be7277e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MaximumMember_b009e44d-c207-4b6c-b926-4fe7a42b0498" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_MaximumMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeMember_cfc9d19e-5a73-4c66-9a81-36ed98326f1b" xlink:to="loc_srt_MaximumMember_b009e44d-c207-4b6c-b926-4fe7a42b0498" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_2594d543-a767-41b2-b4f2-8b42f5487b4f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_2bc04841-f0b4-4a28-a064-bfc77a63cc9a" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_2594d543-a767-41b2-b4f2-8b42f5487b4f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_0fdd46a4-4b22-43b6-b74f-5011380bf4b0" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_2594d543-a767-41b2-b4f2-8b42f5487b4f" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_0fdd46a4-4b22-43b6-b74f-5011380bf4b0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ALungTechnologiesInc.Member_c5520e6e-d561-45d6-a2cf-42f6c587efed" xlink:href="livn-20220630.xsd#livn_ALungTechnologiesInc.Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_0fdd46a4-4b22-43b6-b74f-5011380bf4b0" xlink:to="loc_livn_ALungTechnologiesInc.Member_c5520e6e-d561-45d6-a2cf-42f6c587efed" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_529af377-afe2-4df5-b0b5-ee801077df91" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_2bc04841-f0b4-4a28-a064-bfc77a63cc9a" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_529af377-afe2-4df5-b0b5-ee801077df91" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationContingentConsiderationLiability_27420dc9-404d-4508-9c99-c46074f42da5" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationContingentConsiderationLiability"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_529af377-afe2-4df5-b0b5-ee801077df91" xlink:to="loc_us-gaap_BusinessCombinationContingentConsiderationLiability_27420dc9-404d-4508-9c99-c46074f42da5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationContingentConsiderationLiabilityMeasurementInput_8a741a27-e5cd-435e-90df-10954bb27f0b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationContingentConsiderationLiabilityMeasurementInput"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_529af377-afe2-4df5-b0b5-ee801077df91" xlink:to="loc_us-gaap_BusinessCombinationContingentConsiderationLiabilityMeasurementInput_8a741a27-e5cd-435e-90df-10954bb27f0b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/DivestitureofHeartValveBusiness" xlink:type="simple" xlink:href="livn-20220630.xsd#DivestitureofHeartValveBusiness"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/DivestitureofHeartValveBusiness" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DiscontinuedOperationsAndDisposalGroupsAbstract_a50f82b8-0adc-475f-b890-3ed4d6bebb70" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DiscontinuedOperationsAndDisposalGroupsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsDisclosureTextBlock_a4e78d68-2b21-4bf2-8281-dbbcad7d5e4f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DisposalGroupsIncludingDiscontinuedOperationsDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DiscontinuedOperationsAndDisposalGroupsAbstract_a50f82b8-0adc-475f-b890-3ed4d6bebb70" xlink:to="loc_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsDisclosureTextBlock_a4e78d68-2b21-4bf2-8281-dbbcad7d5e4f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/DivestitureofHeartValveBusinessNarrativeDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#DivestitureofHeartValveBusinessNarrativeDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/DivestitureofHeartValveBusinessNarrativeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DiscontinuedOperationsAndDisposalGroupsAbstract_2338d642-c794-4bab-bec5-fb0529c6aeb7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DiscontinuedOperationsAndDisposalGroupsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_863bdb9d-36a0-41e1-b4d0-0930a7d60035" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DiscontinuedOperationsAndDisposalGroupsAbstract_2338d642-c794-4bab-bec5-fb0529c6aeb7" xlink:to="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_863bdb9d-36a0-41e1-b4d0-0930a7d60035" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis_417393a2-2111-44dd-a7e6-3328b665d32d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_863bdb9d-36a0-41e1-b4d0-0930a7d60035" xlink:to="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis_417393a2-2111-44dd-a7e6-3328b665d32d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain_793c4b86-f6a9-4147-a38f-09851e9fa4ef" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis_417393a2-2111-44dd-a7e6-3328b665d32d" xlink:to="loc_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain_793c4b86-f6a9-4147-a38f-09851e9fa4ef" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_HeartValvesMember_976b9342-2941-4924-a574-d540952f4985" xlink:href="livn-20220630.xsd#livn_HeartValvesMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DisposalGroupsIncludingDiscontinuedOperationsNameDomain_793c4b86-f6a9-4147-a38f-09851e9fa4ef" xlink:to="loc_livn_HeartValvesMember_976b9342-2941-4924-a574-d540952f4985" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_StatementScenarioAxis_bcd64980-9e88-411e-b473-1865411167bf" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_StatementScenarioAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_863bdb9d-36a0-41e1-b4d0-0930a7d60035" xlink:to="loc_srt_StatementScenarioAxis_bcd64980-9e88-411e-b473-1865411167bf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ScenarioUnspecifiedDomain_d87ddff6-c7fa-4368-806d-e7e56eaad6dd" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_ScenarioUnspecifiedDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_StatementScenarioAxis_bcd64980-9e88-411e-b473-1865411167bf" xlink:to="loc_srt_ScenarioUnspecifiedDomain_d87ddff6-c7fa-4368-806d-e7e56eaad6dd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ScenarioForecastMember_0ff31124-5c69-4f8f-a3be-0c3354124366" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_ScenarioForecastMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ScenarioUnspecifiedDomain_d87ddff6-c7fa-4368-806d-e7e56eaad6dd" xlink:to="loc_srt_ScenarioForecastMember_0ff31124-5c69-4f8f-a3be-0c3354124366" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_BusinessAcquisitionPaymentAxis_83d5b689-18cb-4462-8af6-1501ba6375b9" xlink:href="livn-20220630.xsd#livn_BusinessAcquisitionPaymentAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_863bdb9d-36a0-41e1-b4d0-0930a7d60035" xlink:to="loc_livn_BusinessAcquisitionPaymentAxis_83d5b689-18cb-4462-8af6-1501ba6375b9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_BusinessAcquisitionPaymentDomain_0b3ee2bb-42a7-435a-ac73-d96cf9dc3875" xlink:href="livn-20220630.xsd#livn_BusinessAcquisitionPaymentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_livn_BusinessAcquisitionPaymentAxis_83d5b689-18cb-4462-8af6-1501ba6375b9" xlink:to="loc_livn_BusinessAcquisitionPaymentDomain_0b3ee2bb-42a7-435a-ac73-d96cf9dc3875" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_BusinessCombinationConsiderationTrancheOneMember_fe067bc5-4ecc-4c54-bcb6-bac0172abc5b" xlink:href="livn-20220630.xsd#livn_BusinessCombinationConsiderationTrancheOneMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_livn_BusinessAcquisitionPaymentDomain_0b3ee2bb-42a7-435a-ac73-d96cf9dc3875" xlink:to="loc_livn_BusinessCombinationConsiderationTrancheOneMember_fe067bc5-4ecc-4c54-bcb6-bac0172abc5b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_BusinessCombinationConsiderationTrancheTwoMember_70fda126-610a-48c6-bd92-9273e3c362ab" xlink:href="livn-20220630.xsd#livn_BusinessCombinationConsiderationTrancheTwoMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_livn_BusinessAcquisitionPaymentDomain_0b3ee2bb-42a7-435a-ac73-d96cf9dc3875" xlink:to="loc_livn_BusinessCombinationConsiderationTrancheTwoMember_70fda126-610a-48c6-bd92-9273e3c362ab" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupClassificationAxis_e1115c35-98cd-4fff-9396-9bfe430e103f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DisposalGroupClassificationAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_863bdb9d-36a0-41e1-b4d0-0930a7d60035" xlink:to="loc_us-gaap_DisposalGroupClassificationAxis_e1115c35-98cd-4fff-9396-9bfe430e103f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupClassificationDomain_64858d5d-c636-49ba-baba-b36b9faa6501" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DisposalGroupClassificationDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DisposalGroupClassificationAxis_e1115c35-98cd-4fff-9396-9bfe430e103f" xlink:to="loc_us-gaap_DisposalGroupClassificationDomain_64858d5d-c636-49ba-baba-b36b9faa6501" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DiscontinuedOperationsDisposedOfBySaleMember_070ded27-5276-4d62-be02-3daa83c2b928" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DiscontinuedOperationsDisposedOfBySaleMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DisposalGroupClassificationDomain_64858d5d-c636-49ba-baba-b36b9faa6501" xlink:to="loc_us-gaap_DiscontinuedOperationsDisposedOfBySaleMember_070ded27-5276-4d62-be02-3daa83c2b928" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeAxis_713a401f-06cf-4c10-96a5-03939b8fc947" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SubsequentEventTypeAxis"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_863bdb9d-36a0-41e1-b4d0-0930a7d60035" xlink:to="loc_us-gaap_SubsequentEventTypeAxis_713a401f-06cf-4c10-96a5-03939b8fc947" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeDomain_273d89fb-9073-4172-8dcd-03ab15f6870a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SubsequentEventTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTypeAxis_713a401f-06cf-4c10-96a5-03939b8fc947" xlink:to="loc_us-gaap_SubsequentEventTypeDomain_273d89fb-9073-4172-8dcd-03ab15f6870a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventMember_7e83c267-d9c6-4e7a-aa33-daeb1e899841" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SubsequentEventMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTypeDomain_273d89fb-9073-4172-8dcd-03ab15f6870a" xlink:to="loc_us-gaap_SubsequentEventMember_7e83c267-d9c6-4e7a-aa33-daeb1e899841" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LegalEntityAxis_1e94d7cc-4de2-42d7-acfd-e81a192c6809" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_LegalEntityAxis"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_863bdb9d-36a0-41e1-b4d0-0930a7d60035" xlink:to="loc_dei_LegalEntityAxis_1e94d7cc-4de2-42d7-acfd-e81a192c6809" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityDomain_09bbf370-461d-4346-95d8-f6aad5ae3372" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_LegalEntityAxis_1e94d7cc-4de2-42d7-acfd-e81a192c6809" xlink:to="loc_dei_EntityDomain_09bbf370-461d-4346-95d8-f6aad5ae3372" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_MitralHoldcoSarlMember_0096622d-8238-4f90-a452-3452cf8e8a8c" xlink:href="livn-20220630.xsd#livn_MitralHoldcoSarlMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityDomain_09bbf370-461d-4346-95d8-f6aad5ae3372" xlink:to="loc_livn_MitralHoldcoSarlMember_0096622d-8238-4f90-a452-3452cf8e8a8c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_124503f0-43d2-4e61-a9a0-d4d1a9c3724d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_863bdb9d-36a0-41e1-b4d0-0930a7d60035" xlink:to="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_124503f0-43d2-4e61-a9a0-d4d1a9c3724d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationConsideration_17db6901-1b54-4c0e-9fd0-52413a3a8532" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DisposalGroupIncludingDiscontinuedOperationConsideration"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_124503f0-43d2-4e61-a9a0-d4d1a9c3724d" xlink:to="loc_us-gaap_DisposalGroupIncludingDiscontinuedOperationConsideration_17db6901-1b54-4c0e-9fd0-52413a3a8532" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DisposalGroupSaleAndPurchaseDeferralPeriod_70ca3bc0-0ab2-4428-b35d-9ff49139fc2a" xlink:href="livn-20220630.xsd#livn_DisposalGroupSaleAndPurchaseDeferralPeriod"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_124503f0-43d2-4e61-a9a0-d4d1a9c3724d" xlink:to="loc_livn_DisposalGroupSaleAndPurchaseDeferralPeriod_70ca3bc0-0ab2-4428-b35d-9ff49139fc2a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSalesOfBusinessAffiliateAndProductiveAssets_bbac4056-6f82-4942-805c-dffb66f131fc" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProceedsFromSalesOfBusinessAffiliateAndProductiveAssets"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_124503f0-43d2-4e61-a9a0-d4d1a9c3724d" xlink:to="loc_us-gaap_ProceedsFromSalesOfBusinessAffiliateAndProductiveAssets_bbac4056-6f82-4942-805c-dffb66f131fc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DisposalGroupPaymentForWorkingCapitalAndIndebtednessAdjustments_3169a210-2a8d-43cd-9b0b-7c4e4425886f" xlink:href="livn-20220630.xsd#livn_DisposalGroupPaymentForWorkingCapitalAndIndebtednessAdjustments"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_124503f0-43d2-4e61-a9a0-d4d1a9c3724d" xlink:to="loc_livn_DisposalGroupPaymentForWorkingCapitalAndIndebtednessAdjustments_3169a210-2a8d-43cd-9b0b-7c4e4425886f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_GainLossOnRevaluationOfLongLivedAssetsToBeDisposedOf_17616a92-7665-4410-8202-c9df6a51db7b" xlink:href="livn-20220630.xsd#livn_GainLossOnRevaluationOfLongLivedAssetsToBeDisposedOf"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_124503f0-43d2-4e61-a9a0-d4d1a9c3724d" xlink:to="loc_livn_GainLossOnRevaluationOfLongLivedAssetsToBeDisposedOf_17616a92-7665-4410-8202-c9df6a51db7b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingencyDamagesSoughtValue_a119462c-62fb-4c5f-8dc1-124a88ca932d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingencyDamagesSoughtValue"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_124503f0-43d2-4e61-a9a0-d4d1a9c3724d" xlink:to="loc_us-gaap_LossContingencyDamagesSoughtValue_a119462c-62fb-4c5f-8dc1-124a88ca932d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_StandardProductWarrantyCapOnClaims_dd7cf899-9292-483e-acd3-4308fb227c3c" xlink:href="livn-20220630.xsd#livn_StandardProductWarrantyCapOnClaims"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsLineItems_124503f0-43d2-4e61-a9a0-d4d1a9c3724d" xlink:to="loc_livn_StandardProductWarrantyCapOnClaims_dd7cf899-9292-483e-acd3-4308fb227c3c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/Investments" xlink:type="simple" xlink:href="livn-20220630.xsd#Investments"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/Investments" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentsAbstract_e0479e15-062f-44d1-9251-4b313ad06b2b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InvestmentsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentTextBlock_6a78bfc4-10f8-4101-8d02-0f2701a10b2b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InvestmentTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_InvestmentsAbstract_e0479e15-062f-44d1-9251-4b313ad06b2b" xlink:to="loc_us-gaap_InvestmentTextBlock_6a78bfc4-10f8-4101-8d02-0f2701a10b2b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/InvestmentsNarrativeDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#InvestmentsNarrativeDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/InvestmentsNarrativeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfEquityMethodInvestmentsTable_10c77a8a-3baf-4dec-8c30-e51d051b03a8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfEquityMethodInvestmentsTable"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionAxis_6455995f-b44f-4e2c-8903-1aa37587e2da" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RelatedPartyTransactionAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsTable_10c77a8a-3baf-4dec-8c30-e51d051b03a8" xlink:to="loc_us-gaap_RelatedPartyTransactionAxis_6455995f-b44f-4e2c-8903-1aa37587e2da" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionDomain_c4c5d41c-03ab-459c-87fc-796e1160f451" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RelatedPartyTransactionDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RelatedPartyTransactionAxis_6455995f-b44f-4e2c-8903-1aa37587e2da" xlink:to="loc_us-gaap_RelatedPartyTransactionDomain_c4c5d41c-03ab-459c-87fc-796e1160f451" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_CostMethodInvesteeMember_fc1363e0-cd08-4a65-b51b-6a9e6ee2d708" xlink:href="livn-20220630.xsd#livn_CostMethodInvesteeMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RelatedPartyTransactionDomain_c4c5d41c-03ab-459c-87fc-796e1160f451" xlink:to="loc_livn_CostMethodInvesteeMember_fc1363e0-cd08-4a65-b51b-6a9e6ee2d708" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetLocationAxis_d36260ee-6e32-47d7-b920-e192763cee35" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BalanceSheetLocationAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsTable_10c77a8a-3baf-4dec-8c30-e51d051b03a8" xlink:to="loc_us-gaap_BalanceSheetLocationAxis_d36260ee-6e32-47d7-b920-e192763cee35" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetLocationDomain_47850b28-64da-47fc-9102-9249547a02c2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BalanceSheetLocationDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationAxis_d36260ee-6e32-47d7-b920-e192763cee35" xlink:to="loc_us-gaap_BalanceSheetLocationDomain_47850b28-64da-47fc-9102-9249547a02c2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember_24423628-65e7-4e76-95f3-8ab6c83256fd" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationDomain_47850b28-64da-47fc-9102-9249547a02c2" xlink:to="loc_us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember_24423628-65e7-4e76-95f3-8ab6c83256fd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeAxis_10499139-b6d4-4fab-886b-48262a3f7355" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsTable_10c77a8a-3baf-4dec-8c30-e51d051b03a8" xlink:to="loc_us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeAxis_10499139-b6d4-4fab-886b-48262a3f7355" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeDomain_d33da969-1d03-4877-8747-1161f83dd6c7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeAxis_10499139-b6d4-4fab-886b-48262a3f7355" xlink:to="loc_us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeDomain_d33da969-1d03-4877-8747-1161f83dd6c7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ALungTechnologiesInc.Member_aedd95db-40be-4fa4-9376-9ea5dee6cdd7" xlink:href="livn-20220630.xsd#livn_ALungTechnologiesInc.Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeDomain_d33da969-1d03-4877-8747-1161f83dd6c7" xlink:to="loc_livn_ALungTechnologiesInc.Member_aedd95db-40be-4fa4-9376-9ea5dee6cdd7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_72ba260b-72fc-49c9-999e-cb7d1a612220" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsTable_10c77a8a-3baf-4dec-8c30-e51d051b03a8" xlink:to="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_72ba260b-72fc-49c9-999e-cb7d1a612220" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_EquityMethodInvesteeNameDomain_9b3b715b-8449-4c2e-b249-3b7b501284ac" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_EquityMethodInvesteeNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_72ba260b-72fc-49c9-999e-cb7d1a612220" xlink:to="loc_srt_EquityMethodInvesteeNameDomain_9b3b715b-8449-4c2e-b249-3b7b501284ac" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ZollMedicalCorporationMember_95e3cab1-c339-4a06-9065-4b447c3ef825" xlink:href="livn-20220630.xsd#livn_ZollMedicalCorporationMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_EquityMethodInvesteeNameDomain_9b3b715b-8449-4c2e-b249-3b7b501284ac" xlink:to="loc_livn_ZollMedicalCorporationMember_95e3cab1-c339-4a06-9065-4b447c3ef825" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ALungTechnologiesIncMember_f25965d0-6b39-4b33-a5a8-3e7dec6cc076" xlink:href="livn-20220630.xsd#livn_ALungTechnologiesIncMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_EquityMethodInvesteeNameDomain_9b3b715b-8449-4c2e-b249-3b7b501284ac" xlink:to="loc_livn_ALungTechnologiesIncMember_f25965d0-6b39-4b33-a5a8-3e7dec6cc076" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_MDStartIIMember_dd64f8f1-d4de-4aa4-9014-d56ffa66edbb" xlink:href="livn-20220630.xsd#livn_MDStartIIMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_EquityMethodInvesteeNameDomain_9b3b715b-8449-4c2e-b249-3b7b501284ac" xlink:to="loc_livn_MDStartIIMember_dd64f8f1-d4de-4aa4-9014-d56ffa66edbb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsNotesLoansAndFinancingReceivableByReceivableTypeAxis_934549e8-d3f9-4635-b0a0-34217df34dca" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccountsNotesLoansAndFinancingReceivableByReceivableTypeAxis"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsTable_10c77a8a-3baf-4dec-8c30-e51d051b03a8" xlink:to="loc_us-gaap_AccountsNotesLoansAndFinancingReceivableByReceivableTypeAxis_934549e8-d3f9-4635-b0a0-34217df34dca" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReceivableTypeDomain_d9d73d8a-0408-4b7d-8d40-9b441fab4b46" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ReceivableTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccountsNotesLoansAndFinancingReceivableByReceivableTypeAxis_934549e8-d3f9-4635-b0a0-34217df34dca" xlink:to="loc_us-gaap_ReceivableTypeDomain_d9d73d8a-0408-4b7d-8d40-9b441fab4b46" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ConvertibleNotesReceivableMember_1531f648-6a99-418b-b4ce-bd37a8ee8d2e" xlink:href="livn-20220630.xsd#livn_ConvertibleNotesReceivableMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ReceivableTypeDomain_d9d73d8a-0408-4b7d-8d40-9b441fab4b46" xlink:to="loc_livn_ConvertibleNotesReceivableMember_1531f648-6a99-418b-b4ce-bd37a8ee8d2e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_f20ab534-b3a6-48e9-a0be-33b3aca0355d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsTable_10c77a8a-3baf-4dec-8c30-e51d051b03a8" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_f20ab534-b3a6-48e9-a0be-33b3aca0355d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_54b22f6f-7493-4365-8f1f-49400bdcf467" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_f20ab534-b3a6-48e9-a0be-33b3aca0355d" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_54b22f6f-7493-4365-8f1f-49400bdcf467" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ALungTechnologiesInc.Member_f5a79e12-4908-42d4-923c-7d38285ec6e8" xlink:href="livn-20220630.xsd#livn_ALungTechnologiesInc.Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_54b22f6f-7493-4365-8f1f-49400bdcf467" xlink:to="loc_livn_ALungTechnologiesInc.Member_f5a79e12-4908-42d4-923c-7d38285ec6e8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeAxis_7ebca830-79f6-4885-8b2e-0a440686f2f4" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeAxis"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeDomain_dfb74cad-2b57-4d62-9ca8-cf59806f415f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeDomain"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ALungTechnologiesInc.Member_15c920ef-2abc-4526-b5a2-a116b7f0b48f" xlink:href="livn-20220630.xsd#livn_ALungTechnologiesInc.Member"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_a6b4977e-7b80-44c7-86a8-e60c87644eae" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfEquityMethodInvestmentsLineItems"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsTable_10c77a8a-3baf-4dec-8c30-e51d051b03a8" xlink:to="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_a6b4977e-7b80-44c7-86a8-e60c87644eae" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquitySecuritiesFvNiAndWithoutReadilyDeterminableFairValue_18505513-0554-4fd7-817a-f4a49ad9735b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EquitySecuritiesFvNiAndWithoutReadilyDeterminableFairValue"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_a6b4977e-7b80-44c7-86a8-e60c87644eae" xlink:to="loc_us-gaap_EquitySecuritiesFvNiAndWithoutReadilyDeterminableFairValue_18505513-0554-4fd7-817a-f4a49ad9735b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationStepAcquisitionEquityInterestInAcquireePercentage_9714f9f2-f149-4076-a4a5-ae61938b5082" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationStepAcquisitionEquityInterestInAcquireePercentage"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_a6b4977e-7b80-44c7-86a8-e60c87644eae" xlink:to="loc_us-gaap_BusinessCombinationStepAcquisitionEquityInterestInAcquireePercentage_9714f9f2-f149-4076-a4a5-ae61938b5082" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquitySecuritiesWithoutReadilyDeterminableFairValueAmount_21ba2cc7-4fbf-4572-8aeb-bce1663dbae5" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EquitySecuritiesWithoutReadilyDeterminableFairValueAmount"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_a6b4977e-7b80-44c7-86a8-e60c87644eae" xlink:to="loc_us-gaap_EquitySecuritiesWithoutReadilyDeterminableFairValueAmount_21ba2cc7-4fbf-4572-8aeb-bce1663dbae5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NotesReceivableGross_1955c7ce-915a-4a05-9153-1cfdf54ac6db" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NotesReceivableGross"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_a6b4977e-7b80-44c7-86a8-e60c87644eae" xlink:to="loc_us-gaap_NotesReceivableGross_1955c7ce-915a-4a05-9153-1cfdf54ac6db" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired_3b3eb11f-6866-4407-865e-8d750cece136" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_a6b4977e-7b80-44c7-86a8-e60c87644eae" xlink:to="loc_us-gaap_BusinessAcquisitionPercentageOfVotingInterestsAcquired_3b3eb11f-6866-4407-865e-8d750cece136" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleOfEquityMethodInvestments_8532b278-4c24-409c-8f24-0d9e85be0559" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProceedsFromSaleOfEquityMethodInvestments"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_a6b4977e-7b80-44c7-86a8-e60c87644eae" xlink:to="loc_us-gaap_ProceedsFromSaleOfEquityMethodInvestments_8532b278-4c24-409c-8f24-0d9e85be0559" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NotesReceivableNet_6875e73d-43f4-40f5-a044-17f23c090f0f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NotesReceivableNet"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_a6b4977e-7b80-44c7-86a8-e60c87644eae" xlink:to="loc_us-gaap_NotesReceivableNet_6875e73d-43f4-40f5-a044-17f23c090f0f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestmentRealizedGainLossOnDisposal_7ebe9c0f-fe5d-474d-bbe5-f5876154e382" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EquityMethodInvestmentRealizedGainLossOnDisposal"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_a6b4977e-7b80-44c7-86a8-e60c87644eae" xlink:to="loc_us-gaap_EquityMethodInvestmentRealizedGainLossOnDisposal_7ebe9c0f-fe5d-474d-bbe5-f5876154e382" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromDividendsReceived_3607aa24-b7ee-4ee8-9ac6-a8a90e5d0d2d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProceedsFromDividendsReceived"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_a6b4977e-7b80-44c7-86a8-e60c87644eae" xlink:to="loc_us-gaap_ProceedsFromDividendsReceived_3607aa24-b7ee-4ee8-9ac6-a8a90e5d0d2d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/FairValueMeasurements" xlink:type="simple" xlink:href="livn-20220630.xsd#FairValueMeasurements"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/FairValueMeasurements" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresAbstract_5dfc530b-c5d3-475c-ad36-afc95dda6e07" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresTextBlock_22c79c8e-39b0-40ab-8278-740793ee4a52" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueDisclosuresTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract_5dfc530b-c5d3-475c-ad36-afc95dda6e07" xlink:to="loc_us-gaap_FairValueDisclosuresTextBlock_22c79c8e-39b0-40ab-8278-740793ee4a52" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/FairValueMeasurementsTables" xlink:type="simple" xlink:href="livn-20220630.xsd#FairValueMeasurementsTables"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/FairValueMeasurementsTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresAbstract_1a0c7c3a-c191-4630-beee-9cf6df6aa0eb" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTableTextBlock_8e3d572a-69f5-436b-8afb-22f6278fad6a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTableTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract_1a0c7c3a-c191-4630-beee-9cf6df6aa0eb" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTableTextBlock_8e3d572a-69f5-436b-8afb-22f6278fad6a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_268f4b8a-22e4-41bf-ac2d-2245eca44299" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract_1a0c7c3a-c191-4630-beee-9cf6df6aa0eb" xlink:to="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_268f4b8a-22e4-41bf-ac2d-2245eca44299" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionContingentConsiderationTextBlock_114644ce-f49a-425a-a117-ee85bc1ceae7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionContingentConsiderationTextBlock"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract_1a0c7c3a-c191-4630-beee-9cf6df6aa0eb" xlink:to="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionContingentConsiderationTextBlock_114644ce-f49a-425a-a117-ee85bc1ceae7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_3bcb7bf3-2083-46c3-90e4-fc21e8549fd4" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract_1a0c7c3a-c191-4630-beee-9cf6df6aa0eb" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_3bcb7bf3-2083-46c3-90e4-fc21e8549fd4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/FairValueMeasurementsAssetsandLiabilitiesMeasuredatFairValueonaRecurringBasisDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#FairValueMeasurementsAssetsandLiabilitiesMeasuredatFairValueonaRecurringBasisDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/FairValueMeasurementsAssetsandLiabilitiesMeasuredatFairValueonaRecurringBasisDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresAbstract_8b50fcfa-5586-4e8f-bd16-7def24b3fa7c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_b18366b8-394a-41ab-99f7-ae2bddefc011" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract_8b50fcfa-5586-4e8f-bd16-7def24b3fa7c" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_b18366b8-394a-41ab-99f7-ae2bddefc011" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByMeasurementFrequencyAxis_c1beba98-87d1-4463-bc70-e9082c070deb" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueByMeasurementFrequencyAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_b18366b8-394a-41ab-99f7-ae2bddefc011" xlink:to="loc_us-gaap_FairValueByMeasurementFrequencyAxis_c1beba98-87d1-4463-bc70-e9082c070deb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementFrequencyDomain_ff519b84-3026-4c65-8f82-131b289d90de" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementFrequencyDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByMeasurementFrequencyAxis_c1beba98-87d1-4463-bc70-e9082c070deb" xlink:to="loc_us-gaap_FairValueMeasurementFrequencyDomain_ff519b84-3026-4c65-8f82-131b289d90de" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsRecurringMember_1edd3240-0e55-4ecc-95c9-638c0fdb7198" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementsRecurringMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueMeasurementFrequencyDomain_ff519b84-3026-4c65-8f82-131b289d90de" xlink:to="loc_us-gaap_FairValueMeasurementsRecurringMember_1edd3240-0e55-4ecc-95c9-638c0fdb7198" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_43b5820a-2d75-414d-8069-b27c85c6cef2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_b18366b8-394a-41ab-99f7-ae2bddefc011" xlink:to="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_43b5820a-2d75-414d-8069-b27c85c6cef2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_b0a58f51-dd07-4607-a17b-810634bc4994" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_43b5820a-2d75-414d-8069-b27c85c6cef2" xlink:to="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_b0a58f51-dd07-4607-a17b-810634bc4994" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel1Member_97bc6181-ad0d-46a2-aaab-2755701614a9" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueInputsLevel1Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_b0a58f51-dd07-4607-a17b-810634bc4994" xlink:to="loc_us-gaap_FairValueInputsLevel1Member_97bc6181-ad0d-46a2-aaab-2755701614a9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel2Member_72949dfa-a3b5-4783-bfa4-0b5b77af2369" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueInputsLevel2Member"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_b0a58f51-dd07-4607-a17b-810634bc4994" xlink:to="loc_us-gaap_FairValueInputsLevel2Member_72949dfa-a3b5-4783-bfa4-0b5b77af2369" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel3Member_7b670fc4-c6b8-44a9-9a75-4cef1d822b78" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueInputsLevel3Member"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_b0a58f51-dd07-4607-a17b-810634bc4994" xlink:to="loc_us-gaap_FairValueInputsLevel3Member_7b670fc4-c6b8-44a9-9a75-4cef1d822b78" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HedgingDesignationAxis_cdcb9c7d-f847-44d5-a319-014095cad70d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_HedgingDesignationAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_b18366b8-394a-41ab-99f7-ae2bddefc011" xlink:to="loc_us-gaap_HedgingDesignationAxis_cdcb9c7d-f847-44d5-a319-014095cad70d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HedgingDesignationDomain_591f6bb7-3027-42e6-9f4f-83d85b4f83ac" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_HedgingDesignationDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_HedgingDesignationAxis_cdcb9c7d-f847-44d5-a319-014095cad70d" xlink:to="loc_us-gaap_HedgingDesignationDomain_591f6bb7-3027-42e6-9f4f-83d85b4f83ac" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DesignatedAsHedgingInstrumentMember_050f3f5c-1a75-4639-bd56-9119f3f1b58b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DesignatedAsHedgingInstrumentMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_HedgingDesignationDomain_591f6bb7-3027-42e6-9f4f-83d85b4f83ac" xlink:to="loc_us-gaap_DesignatedAsHedgingInstrumentMember_050f3f5c-1a75-4639-bd56-9119f3f1b58b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NondesignatedMember_371ce306-dbba-477c-a07c-7324b1b0f710" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NondesignatedMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_HedgingDesignationDomain_591f6bb7-3027-42e6-9f4f-83d85b4f83ac" xlink:to="loc_us-gaap_NondesignatedMember_371ce306-dbba-477c-a07c-7324b1b0f710" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentRiskAxis_2e24f1e1-c2a8-45d9-8ff8-adfc4bedf21a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeInstrumentRiskAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_b18366b8-394a-41ab-99f7-ae2bddefc011" xlink:to="loc_us-gaap_DerivativeInstrumentRiskAxis_2e24f1e1-c2a8-45d9-8ff8-adfc4bedf21a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeContractTypeDomain_5797624b-27d4-44af-9679-22b8250e8a85" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeContractTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis_2e24f1e1-c2a8-45d9-8ff8-adfc4bedf21a" xlink:to="loc_us-gaap_DerivativeContractTypeDomain_5797624b-27d4-44af-9679-22b8250e8a85" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ForeignExchangeContractMember_dfdf0f33-d29f-4e73-af45-f4bd0f098f4e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ForeignExchangeContractMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_5797624b-27d4-44af-9679-22b8250e8a85" xlink:to="loc_us-gaap_ForeignExchangeContractMember_dfdf0f33-d29f-4e73-af45-f4bd0f098f4e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_FreestandingInstrumentMember_73e9bc1b-8f93-4565-a599-23dd243eb7ce" xlink:href="livn-20220630.xsd#livn_FreestandingInstrumentMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_5797624b-27d4-44af-9679-22b8250e8a85" xlink:to="loc_livn_FreestandingInstrumentMember_73e9bc1b-8f93-4565-a599-23dd243eb7ce" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_CappedCallMember_96477093-e78c-4ba2-b226-f2d1f1f34d3a" xlink:href="livn-20220630.xsd#livn_CappedCallMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_5797624b-27d4-44af-9679-22b8250e8a85" xlink:to="loc_livn_CappedCallMember_96477093-e78c-4ba2-b226-f2d1f1f34d3a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmbeddedDerivativeFinancialInstrumentsMember_bedd24aa-a3b8-4f40-945c-5b9c2fbded21" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EmbeddedDerivativeFinancialInstrumentsMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_5797624b-27d4-44af-9679-22b8250e8a85" xlink:to="loc_us-gaap_EmbeddedDerivativeFinancialInstrumentsMember_bedd24aa-a3b8-4f40-945c-5b9c2fbded21" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_4261f793-8b85-4f7d-a0e8-a61fbc3f7866" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_b18366b8-394a-41ab-99f7-ae2bddefc011" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_4261f793-8b85-4f7d-a0e8-a61fbc3f7866" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsFairValueDisclosureAbstract_7d0f9cd9-4336-453c-babb-8b47b97b0e09" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AssetsFairValueDisclosureAbstract"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_4261f793-8b85-4f7d-a0e8-a61fbc3f7866" xlink:to="loc_us-gaap_AssetsFairValueDisclosureAbstract_7d0f9cd9-4336-453c-babb-8b47b97b0e09" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssets_7c36eed8-2c3c-4750-ad8f-deebebe68f9f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeAssets"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsFairValueDisclosureAbstract_7d0f9cd9-4336-453c-babb-8b47b97b0e09" xlink:to="loc_us-gaap_DerivativeAssets_7c36eed8-2c3c-4750-ad8f-deebebe68f9f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReceivablesFairValueDisclosure_7273653d-73e3-41e3-9690-ee1f4ac9ffe3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ReceivablesFairValueDisclosure"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsFairValueDisclosureAbstract_7d0f9cd9-4336-453c-babb-8b47b97b0e09" xlink:to="loc_us-gaap_ReceivablesFairValueDisclosure_7273653d-73e3-41e3-9690-ee1f4ac9ffe3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsFairValueDisclosure_1900765f-d684-435a-aa66-1df777750ac6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AssetsFairValueDisclosure"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AssetsFairValueDisclosureAbstract_7d0f9cd9-4336-453c-babb-8b47b97b0e09" xlink:to="loc_us-gaap_AssetsFairValueDisclosure_1900765f-d684-435a-aa66-1df777750ac6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancialLiabilitiesFairValueDisclosureAbstract_0ccdb6cd-a938-4170-a4aa-8e44bb72f82d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FinancialLiabilitiesFairValueDisclosureAbstract"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_4261f793-8b85-4f7d-a0e8-a61fbc3f7866" xlink:to="loc_us-gaap_FinancialLiabilitiesFairValueDisclosureAbstract_0ccdb6cd-a938-4170-a4aa-8e44bb72f82d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilities_09ebe4d3-fe3d-49e8-96c5-d8c7b5a9ec49" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeLiabilities"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FinancialLiabilitiesFairValueDisclosureAbstract_0ccdb6cd-a938-4170-a4aa-8e44bb72f82d" xlink:to="loc_us-gaap_DerivativeLiabilities_09ebe4d3-fe3d-49e8-96c5-d8c7b5a9ec49" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationContingentConsiderationLiability_51d70246-4a59-4e0d-a18d-6946076504fb" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationContingentConsiderationLiability"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FinancialLiabilitiesFairValueDisclosureAbstract_0ccdb6cd-a938-4170-a4aa-8e44bb72f82d" xlink:to="loc_us-gaap_BusinessCombinationContingentConsiderationLiability_51d70246-4a59-4e0d-a18d-6946076504fb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesFairValueDisclosure_8e45d7de-4eeb-4f86-8b5c-a10416667117" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LiabilitiesFairValueDisclosure"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FinancialLiabilitiesFairValueDisclosureAbstract_0ccdb6cd-a938-4170-a4aa-8e44bb72f82d" xlink:to="loc_us-gaap_LiabilitiesFairValueDisclosure_8e45d7de-4eeb-4f86-8b5c-a10416667117" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/FairValueMeasurementsReconciliationofRecurringFairValueMeasurementsDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#FairValueMeasurementsReconciliationofRecurringFairValueMeasurementsDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/FairValueMeasurementsReconciliationofRecurringFairValueMeasurementsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresAbstract_09431849-c3e1-4d8b-a0e0-d1245f78e34e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_7be9016e-0900-4265-8355-065f6815a0bb" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract_09431849-c3e1-4d8b-a0e0-d1245f78e34e" xlink:to="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_7be9016e-0900-4265-8355-065f6815a0bb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByMeasurementFrequencyAxis_f7e37511-46c9-495c-8a6d-94e979b89ebc" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueByMeasurementFrequencyAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_7be9016e-0900-4265-8355-065f6815a0bb" xlink:to="loc_us-gaap_FairValueByMeasurementFrequencyAxis_f7e37511-46c9-495c-8a6d-94e979b89ebc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementFrequencyDomain_2b23cf83-4180-4b96-a9f5-b000ec391137" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementFrequencyDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByMeasurementFrequencyAxis_f7e37511-46c9-495c-8a6d-94e979b89ebc" xlink:to="loc_us-gaap_FairValueMeasurementFrequencyDomain_2b23cf83-4180-4b96-a9f5-b000ec391137" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsRecurringMember_d66d2659-aa6e-4d5d-aa9a-db470c35ff1f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementsRecurringMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueMeasurementFrequencyDomain_2b23cf83-4180-4b96-a9f5-b000ec391137" xlink:to="loc_us-gaap_FairValueMeasurementsRecurringMember_d66d2659-aa6e-4d5d-aa9a-db470c35ff1f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_5ae5aed7-4450-4a3f-90db-d006b1743503" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_7be9016e-0900-4265-8355-065f6815a0bb" xlink:to="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_5ae5aed7-4450-4a3f-90db-d006b1743503" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_fa2fbc8b-3a2f-4053-9f30-2c062d22d755" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_5ae5aed7-4450-4a3f-90db-d006b1743503" xlink:to="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_fa2fbc8b-3a2f-4053-9f30-2c062d22d755" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel3Member_7eb2514b-0913-4ed7-ab30-c453a7af6b45" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueInputsLevel3Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_fa2fbc8b-3a2f-4053-9f30-2c062d22d755" xlink:to="loc_us-gaap_FairValueInputsLevel3Member_7eb2514b-0913-4ed7-ab30-c453a7af6b45" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByAssetClassAxis_5426cf8c-c50f-4071-830e-24630d1a315e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueByAssetClassAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_7be9016e-0900-4265-8355-065f6815a0bb" xlink:to="loc_us-gaap_FairValueByAssetClassAxis_5426cf8c-c50f-4071-830e-24630d1a315e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain_4662fa74-18a8-4f06-8e3b-e221a1a0235d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByAssetClassAxis_5426cf8c-c50f-4071-830e-24630d1a315e" xlink:to="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain_4662fa74-18a8-4f06-8e3b-e221a1a0235d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeFinancialInstrumentsAssetsMember_797fab7c-9628-48f1-8fbf-42f096e649a7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeFinancialInstrumentsAssetsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain_4662fa74-18a8-4f06-8e3b-e221a1a0235d" xlink:to="loc_us-gaap_DerivativeFinancialInstrumentsAssetsMember_797fab7c-9628-48f1-8fbf-42f096e649a7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NotesReceivableMember_ba96e239-4f49-4b96-980b-27d5e0b48fd6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NotesReceivableMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain_4662fa74-18a8-4f06-8e3b-e221a1a0235d" xlink:to="loc_us-gaap_NotesReceivableMember_ba96e239-4f49-4b96-980b-27d5e0b48fd6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByLiabilityClassAxis_38007126-be32-4294-96b3-bf340863084a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueByLiabilityClassAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_7be9016e-0900-4265-8355-065f6815a0bb" xlink:to="loc_us-gaap_FairValueByLiabilityClassAxis_38007126-be32-4294-96b3-bf340863084a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationByLiabilityClassDomain_8d489158-5ddb-4090-9fa4-b59393b81383" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationByLiabilityClassDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByLiabilityClassAxis_38007126-be32-4294-96b3-bf340863084a" xlink:to="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationByLiabilityClassDomain_8d489158-5ddb-4090-9fa4-b59393b81383" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_EmbeddedExchangeFeatureLiabilityMember_d4a1f07b-3400-4038-b250-035077d88aef" xlink:href="livn-20220630.xsd#livn_EmbeddedExchangeFeatureLiabilityMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationByLiabilityClassDomain_8d489158-5ddb-4090-9fa4-b59393b81383" xlink:to="loc_livn_EmbeddedExchangeFeatureLiabilityMember_d4a1f07b-3400-4038-b250-035077d88aef" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ContingentConsiderationLiabilityMember_c8ff530f-ac27-4575-9728-f30abc21c821" xlink:href="livn-20220630.xsd#livn_ContingentConsiderationLiabilityMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationByLiabilityClassDomain_8d489158-5ddb-4090-9fa4-b59393b81383" xlink:to="loc_livn_ContingentConsiderationLiabilityMember_c8ff530f-ac27-4575-9728-f30abc21c821" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionLineItems_e4e1d1dd-836a-4f18-a0c1-9e2a4c06a989" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionLineItems"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_7be9016e-0900-4265-8355-065f6815a0bb" xlink:to="loc_us-gaap_BusinessAcquisitionLineItems_e4e1d1dd-836a-4f18-a0c1-9e2a4c06a989" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_5ac9dbef-0d88-410d-bb47-e20d57ef2816" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_e4e1d1dd-836a-4f18-a0c1-9e2a4c06a989" xlink:to="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_5ac9dbef-0d88-410d-bb47-e20d57ef2816" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue_d33f1a0a-f409-425b-97b6-dc011d140fe5" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_5ac9dbef-0d88-410d-bb47-e20d57ef2816" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue_d33f1a0a-f409-425b-97b6-dc011d140fe5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases_134b691c-f02e-4d9c-ae59-d37905aafa95" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_5ac9dbef-0d88-410d-bb47-e20d57ef2816" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases_134b691c-f02e-4d9c-ae59-d37905aafa95" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSettlements_edc02c17-4365-4210-adce-3f39d7f6c410" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSettlements"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_5ac9dbef-0d88-410d-bb47-e20d57ef2816" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSettlements_edc02c17-4365-4210-adce-3f39d7f6c410" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1_795fca1c-ffd1-4769-ad10-3752e958d45c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_5ac9dbef-0d88-410d-bb47-e20d57ef2816" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1_795fca1c-ffd1-4769-ad10-3752e958d45c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue_10e97159-b62f-4a9e-9390-15276ba50e22" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_5ac9dbef-0d88-410d-bb47-e20d57ef2816" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue_10e97159-b62f-4a9e-9390-15276ba50e22" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisCurrentAssetValue_2a784543-5eec-4856-ba4d-09478e5d3547" xlink:href="livn-20220630.xsd#livn_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisCurrentAssetValue"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_5ac9dbef-0d88-410d-bb47-e20d57ef2816" xlink:to="loc_livn_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisCurrentAssetValue_2a784543-5eec-4856-ba4d-09478e5d3547" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisNonCurrentAssetValue_75b79314-1af7-4f27-a6f2-ecf51cedc0b9" xlink:href="livn-20220630.xsd#livn_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisNonCurrentAssetValue"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_5ac9dbef-0d88-410d-bb47-e20d57ef2816" xlink:to="loc_livn_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisNonCurrentAssetValue_75b79314-1af7-4f27-a6f2-ecf51cedc0b9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_accd3acd-3d9f-40bc-9e26-ff9abd7b61e1" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems_e4e1d1dd-836a-4f18-a0c1-9e2a4c06a989" xlink:to="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_accd3acd-3d9f-40bc-9e26-ff9abd7b61e1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_a3249aca-ec5b-406b-a6e7-9487e3dcdc8b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_accd3acd-3d9f-40bc-9e26-ff9abd7b61e1" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_a3249aca-ec5b-406b-a6e7-9487e3dcdc8b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityPurchases_0a471c8b-4d96-4253-a8a1-4fb259381b74" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityPurchases"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_accd3acd-3d9f-40bc-9e26-ff9abd7b61e1" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityPurchases_0a471c8b-4d96-4253-a8a1-4fb259381b74" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilitySettlements_f150e0a5-142f-45cf-a200-92c11df17604" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilitySettlements"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_accd3acd-3d9f-40bc-9e26-ff9abd7b61e1" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilitySettlements_f150e0a5-142f-45cf-a200-92c11df17604" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarnings_dfa9e807-396e-406e-bfdb-3338763fd597" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarnings"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_accd3acd-3d9f-40bc-9e26-ff9abd7b61e1" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarnings_dfa9e807-396e-406e-bfdb-3338763fd597" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_2b102e3d-230a-42c2-84ae-15ffc5b41596" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_accd3acd-3d9f-40bc-9e26-ff9abd7b61e1" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_2b102e3d-230a-42c2-84ae-15ffc5b41596" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_FairValueMeasurementwithUnobservableInputsReconciliationRecurringBasisCurrentLiabilityValue_244a1116-ea7c-41bd-9fdb-bc07b07e66ea" xlink:href="livn-20220630.xsd#livn_FairValueMeasurementwithUnobservableInputsReconciliationRecurringBasisCurrentLiabilityValue"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_accd3acd-3d9f-40bc-9e26-ff9abd7b61e1" xlink:to="loc_livn_FairValueMeasurementwithUnobservableInputsReconciliationRecurringBasisCurrentLiabilityValue_244a1116-ea7c-41bd-9fdb-bc07b07e66ea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_FairValueMeasurementwithUnobservableInputsReconciliationRecurringBasisNoncurrentLiabilityValue_7939f496-1aa9-456a-836b-ddaf0d02a74e" xlink:href="livn-20220630.xsd#livn_FairValueMeasurementwithUnobservableInputsReconciliationRecurringBasisNoncurrentLiabilityValue"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_accd3acd-3d9f-40bc-9e26-ff9abd7b61e1" xlink:to="loc_livn_FairValueMeasurementwithUnobservableInputsReconciliationRecurringBasisNoncurrentLiabilityValue_7939f496-1aa9-456a-836b-ddaf0d02a74e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/FairValueMeasurementsNarrativeDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#FairValueMeasurementsNarrativeDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/FairValueMeasurementsNarrativeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresAbstract_82256554-a744-42a9-b56c-d92ca3cb1add" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_af547129-334c-4e8e-b5ee-06b20fc3ccb1" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract_82256554-a744-42a9-b56c-d92ca3cb1add" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_af547129-334c-4e8e-b5ee-06b20fc3ccb1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentAxis_2cc0cd54-73fd-4fc8-b9c8-4d04c2892bbc" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_af547129-334c-4e8e-b5ee-06b20fc3ccb1" xlink:to="loc_us-gaap_DebtInstrumentAxis_2cc0cd54-73fd-4fc8-b9c8-4d04c2892bbc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain_bcfd62fd-2e42-4b94-84b5-c8f66bdd36e9" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentAxis_2cc0cd54-73fd-4fc8-b9c8-4d04c2892bbc" xlink:to="loc_us-gaap_DebtInstrumentNameDomain_bcfd62fd-2e42-4b94-84b5-c8f66bdd36e9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_A2020CashExchangeableSeniorNotesMember_e7e8c3ab-925b-49ef-87c6-0f708a0766b5" xlink:href="livn-20220630.xsd#livn_A2020CashExchangeableSeniorNotesMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_bcfd62fd-2e42-4b94-84b5-c8f66bdd36e9" xlink:to="loc_livn_A2020CashExchangeableSeniorNotesMember_e7e8c3ab-925b-49ef-87c6-0f708a0766b5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeAxis_986abc20-c829-4470-9b7b-ad65077e6b68" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongtermDebtTypeAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_af547129-334c-4e8e-b5ee-06b20fc3ccb1" xlink:to="loc_us-gaap_LongtermDebtTypeAxis_986abc20-c829-4470-9b7b-ad65077e6b68" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_ddcf0a6d-3c96-4b92-858f-ca8de69fda7b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_986abc20-c829-4470-9b7b-ad65077e6b68" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_ddcf0a6d-3c96-4b92-858f-ca8de69fda7b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeniorNotesMember_2adda9d1-f122-44f2-bb8a-af370132e2b6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SeniorNotesMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_ddcf0a6d-3c96-4b92-858f-ca8de69fda7b" xlink:to="loc_us-gaap_SeniorNotesMember_2adda9d1-f122-44f2-bb8a-af370132e2b6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputTypeAxis_35a1c151-c3f1-45ae-b7e8-11a5562a57f7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_MeasurementInputTypeAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_af547129-334c-4e8e-b5ee-06b20fc3ccb1" xlink:to="loc_us-gaap_MeasurementInputTypeAxis_35a1c151-c3f1-45ae-b7e8-11a5562a57f7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputTypeDomain_cf4b9cb5-ad87-43f1-9f65-461b752892a7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_MeasurementInputTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MeasurementInputTypeAxis_35a1c151-c3f1-45ae-b7e8-11a5562a57f7" xlink:to="loc_us-gaap_MeasurementInputTypeDomain_cf4b9cb5-ad87-43f1-9f65-461b752892a7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_MeasurementInputStockPriceVolatilityMember_5c17b253-f852-4f1e-9c25-3917f1d0f4c4" xlink:href="livn-20220630.xsd#livn_MeasurementInputStockPriceVolatilityMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MeasurementInputTypeDomain_cf4b9cb5-ad87-43f1-9f65-461b752892a7" xlink:to="loc_livn_MeasurementInputStockPriceVolatilityMember_5c17b253-f852-4f1e-9c25-3917f1d0f4c4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentRiskAxis_94ead30a-9a0d-4553-b33a-d185b721c21f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeInstrumentRiskAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_af547129-334c-4e8e-b5ee-06b20fc3ccb1" xlink:to="loc_us-gaap_DerivativeInstrumentRiskAxis_94ead30a-9a0d-4553-b33a-d185b721c21f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeContractTypeDomain_8bed2b99-23ac-4bbb-bee6-9b3ee68e6335" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeContractTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis_94ead30a-9a0d-4553-b33a-d185b721c21f" xlink:to="loc_us-gaap_DerivativeContractTypeDomain_8bed2b99-23ac-4bbb-bee6-9b3ee68e6335" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmbeddedDerivativeFinancialInstrumentsMember_36d8ed86-2967-48d4-8218-f62a97d340da" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EmbeddedDerivativeFinancialInstrumentsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_8bed2b99-23ac-4bbb-bee6-9b3ee68e6335" xlink:to="loc_us-gaap_EmbeddedDerivativeFinancialInstrumentsMember_36d8ed86-2967-48d4-8218-f62a97d340da" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_CappedCallMember_b9312e34-1440-4234-9920-95e1a21385d9" xlink:href="livn-20220630.xsd#livn_CappedCallMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_8bed2b99-23ac-4bbb-bee6-9b3ee68e6335" xlink:to="loc_livn_CappedCallMember_b9312e34-1440-4234-9920-95e1a21385d9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_b851814a-e2e1-44a2-aefe-8c321b37a6e9" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_af547129-334c-4e8e-b5ee-06b20fc3ccb1" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_b851814a-e2e1-44a2-aefe-8c321b37a6e9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentFaceAmount_d646baf0-edee-443b-bf67-0609cf186ffc" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentFaceAmount"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_b851814a-e2e1-44a2-aefe-8c321b37a6e9" xlink:to="loc_us-gaap_DebtInstrumentFaceAmount_d646baf0-edee-443b-bf67-0609cf186ffc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmbeddedDerivativeFairValueOfEmbeddedDerivativeLiability_d772f185-34ce-40d2-b184-f38939847609" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EmbeddedDerivativeFairValueOfEmbeddedDerivativeLiability"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_b851814a-e2e1-44a2-aefe-8c321b37a6e9" xlink:to="loc_us-gaap_EmbeddedDerivativeFairValueOfEmbeddedDerivativeLiability_d772f185-34ce-40d2-b184-f38939847609" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssets_251ed60d-61c2-4b5e-b65c-6187a804cce1" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeAssets"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_b851814a-e2e1-44a2-aefe-8c321b37a6e9" xlink:to="loc_us-gaap_DerivativeAssets_251ed60d-61c2-4b5e-b65c-6187a804cce1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilityMeasurementInput_270e2521-1874-4b8d-bdb6-95cd46a255cb" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeLiabilityMeasurementInput"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_b851814a-e2e1-44a2-aefe-8c321b37a6e9" xlink:to="loc_us-gaap_DerivativeLiabilityMeasurementInput_270e2521-1874-4b8d-bdb6-95cd46a255cb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_SensitivityAnalysisOfFairValue10PercentDecreaseInStockPriceVolatilityFairValue_22dfb22e-38f3-46f0-95e9-03a966db65fa" xlink:href="livn-20220630.xsd#livn_SensitivityAnalysisOfFairValue10PercentDecreaseInStockPriceVolatilityFairValue"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_b851814a-e2e1-44a2-aefe-8c321b37a6e9" xlink:to="loc_livn_SensitivityAnalysisOfFairValue10PercentDecreaseInStockPriceVolatilityFairValue_22dfb22e-38f3-46f0-95e9-03a966db65fa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_SensitivityAnalysisOfFairValue10PercentIncreaseInStockPriceVolatilityFairValue_a2448b26-ffec-4e4b-b48a-4c74f3d5e41b" xlink:href="livn-20220630.xsd#livn_SensitivityAnalysisOfFairValue10PercentIncreaseInStockPriceVolatilityFairValue"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_b851814a-e2e1-44a2-aefe-8c321b37a6e9" xlink:to="loc_livn_SensitivityAnalysisOfFairValue10PercentIncreaseInStockPriceVolatilityFairValue_a2448b26-ffec-4e4b-b48a-4c74f3d5e41b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/FairValueMeasurementsFairValueofContingentConsiderationbyAcquisitionDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#FairValueMeasurementsFairValueofContingentConsiderationbyAcquisitionDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/FairValueMeasurementsFairValueofContingentConsiderationbyAcquisitionDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresAbstract_f5894051-287d-4575-8dd3-f26eee91dac4" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionContingentConsiderationTable_6f794a68-9d55-4fff-98e9-1e54c204ec9a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionContingentConsiderationTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract_f5894051-287d-4575-8dd3-f26eee91dac4" xlink:to="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionContingentConsiderationTable_6f794a68-9d55-4fff-98e9-1e54c204ec9a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_58585cdb-ac20-4ed5-9cce-ddc62afe5a85" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionContingentConsiderationTable_6f794a68-9d55-4fff-98e9-1e54c204ec9a" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_58585cdb-ac20-4ed5-9cce-ddc62afe5a85" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_7359f08c-e060-44a6-94fa-803c06d09838" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_58585cdb-ac20-4ed5-9cce-ddc62afe5a85" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_7359f08c-e060-44a6-94fa-803c06d09838" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ImTheraMedicalInc.Member_8abaddb3-00d5-4650-8bd0-4444bf467209" xlink:href="livn-20220630.xsd#livn_ImTheraMedicalInc.Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_7359f08c-e060-44a6-94fa-803c06d09838" xlink:to="loc_livn_ImTheraMedicalInc.Member_8abaddb3-00d5-4650-8bd0-4444bf467209" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ALungTechnologiesInc.Member_52d44494-1419-492a-95ce-8cf6fa10325b" xlink:href="livn-20220630.xsd#livn_ALungTechnologiesInc.Member"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_7359f08c-e060-44a6-94fa-803c06d09838" xlink:to="loc_livn_ALungTechnologiesInc.Member_52d44494-1419-492a-95ce-8cf6fa10325b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_TandemLifeMember_7aa8e237-5f5a-4f4c-894f-b6bb7101d191" xlink:href="livn-20220630.xsd#livn_TandemLifeMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_7359f08c-e060-44a6-94fa-803c06d09838" xlink:to="loc_livn_TandemLifeMember_7aa8e237-5f5a-4f4c-894f-b6bb7101d191" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByMeasurementFrequencyAxis_d40daf3c-cea0-4f19-9492-2b9a92e72bb1" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueByMeasurementFrequencyAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionContingentConsiderationTable_6f794a68-9d55-4fff-98e9-1e54c204ec9a" xlink:to="loc_us-gaap_FairValueByMeasurementFrequencyAxis_d40daf3c-cea0-4f19-9492-2b9a92e72bb1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementFrequencyDomain_86179520-e2c6-474e-b050-239a022d323e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementFrequencyDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByMeasurementFrequencyAxis_d40daf3c-cea0-4f19-9492-2b9a92e72bb1" xlink:to="loc_us-gaap_FairValueMeasurementFrequencyDomain_86179520-e2c6-474e-b050-239a022d323e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsRecurringMember_7f2198b1-c3a1-4f73-9f4d-07e334d2bdda" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementsRecurringMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueMeasurementFrequencyDomain_86179520-e2c6-474e-b050-239a022d323e" xlink:to="loc_us-gaap_FairValueMeasurementsRecurringMember_7f2198b1-c3a1-4f73-9f4d-07e334d2bdda" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_2b99e311-50e1-4178-b1e9-548135cac0c0" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionContingentConsiderationTable_6f794a68-9d55-4fff-98e9-1e54c204ec9a" xlink:to="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_2b99e311-50e1-4178-b1e9-548135cac0c0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_639f50c2-1df1-4b4a-8600-def75a229dd2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_2b99e311-50e1-4178-b1e9-548135cac0c0" xlink:to="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_639f50c2-1df1-4b4a-8600-def75a229dd2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel3Member_3205c243-a6f8-41e7-a0c4-b93272c16d76" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueInputsLevel3Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_639f50c2-1df1-4b4a-8600-def75a229dd2" xlink:to="loc_us-gaap_FairValueInputsLevel3Member_3205c243-a6f8-41e7-a0c4-b93272c16d76" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionContingentConsiderationLineItems_63cb69aa-e8f8-487d-9ce2-7f656ff9ffa0" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionContingentConsiderationLineItems"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionContingentConsiderationTable_6f794a68-9d55-4fff-98e9-1e54c204ec9a" xlink:to="loc_us-gaap_BusinessAcquisitionContingentConsiderationLineItems_63cb69aa-e8f8-487d-9ce2-7f656ff9ffa0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationContingentConsiderationLiability_99d4c722-2b21-436f-a939-b0ee06c78164" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationContingentConsiderationLiability"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionContingentConsiderationLineItems_63cb69aa-e8f8-487d-9ce2-7f656ff9ffa0" xlink:to="loc_us-gaap_BusinessCombinationContingentConsiderationLiability_99d4c722-2b21-436f-a939-b0ee06c78164" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_650fa68d-5c09-4092-b113-617cf1209d99" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionContingentConsiderationLineItems_63cb69aa-e8f8-487d-9ce2-7f656ff9ffa0" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_650fa68d-5c09-4092-b113-617cf1209d99" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/FairValueMeasurementsSignificantUnobservableInputsDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#FairValueMeasurementsSignificantUnobservableInputsDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/FairValueMeasurementsSignificantUnobservableInputsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresAbstract_0beb94ec-9085-444d-a25c-c1627b8c72e8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_cd0b88bd-da1b-467b-9ca2-b5d85f5af7d5" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract_0beb94ec-9085-444d-a25c-c1627b8c72e8" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_cd0b88bd-da1b-467b-9ca2-b5d85f5af7d5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis_3be3c9cb-08e6-4a0b-907f-2c95ee1e4165" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_cd0b88bd-da1b-467b-9ca2-b5d85f5af7d5" xlink:to="loc_us-gaap_BusinessAcquisitionAxis_3be3c9cb-08e6-4a0b-907f-2c95ee1e4165" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain_78cb46b5-7e5e-4f0b-8792-b74c38108642" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAxis_3be3c9cb-08e6-4a0b-907f-2c95ee1e4165" xlink:to="loc_us-gaap_BusinessAcquisitionAcquireeDomain_78cb46b5-7e5e-4f0b-8792-b74c38108642" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ImTheraMedicalInc.Member_ceb1b6b3-4254-4bdb-9d6e-fb65421d22f7" xlink:href="livn-20220630.xsd#livn_ImTheraMedicalInc.Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_78cb46b5-7e5e-4f0b-8792-b74c38108642" xlink:to="loc_livn_ImTheraMedicalInc.Member_ceb1b6b3-4254-4bdb-9d6e-fb65421d22f7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_TandemLifeMember_ddd9b3ea-553f-4bed-995b-2688ec1915e2" xlink:href="livn-20220630.xsd#livn_TandemLifeMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_78cb46b5-7e5e-4f0b-8792-b74c38108642" xlink:to="loc_livn_TandemLifeMember_ddd9b3ea-553f-4bed-995b-2688ec1915e2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ALungTechnologiesInc.Member_7d25eafe-2ca1-46b5-8b97-587753027f5e" xlink:href="livn-20220630.xsd#livn_ALungTechnologiesInc.Member"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain_78cb46b5-7e5e-4f0b-8792-b74c38108642" xlink:to="loc_livn_ALungTechnologiesInc.Member_7d25eafe-2ca1-46b5-8b97-587753027f5e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeAxis_be602b0c-8672-443e-9a4b-77fbf804236a" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RangeAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_cd0b88bd-da1b-467b-9ca2-b5d85f5af7d5" xlink:to="loc_srt_RangeAxis_be602b0c-8672-443e-9a4b-77fbf804236a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember_489a0717-cb1f-4b6a-8d85-5825b49461ca" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RangeMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeAxis_be602b0c-8672-443e-9a4b-77fbf804236a" xlink:to="loc_srt_RangeMember_489a0717-cb1f-4b6a-8d85-5825b49461ca" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MinimumMember_c10b1893-a48f-40a4-b2f8-b8582454d200" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_MinimumMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeMember_489a0717-cb1f-4b6a-8d85-5825b49461ca" xlink:to="loc_srt_MinimumMember_c10b1893-a48f-40a4-b2f8-b8582454d200" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MaximumMember_0c2d3edf-fe84-40b7-9043-101178458d72" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_MaximumMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeMember_489a0717-cb1f-4b6a-8d85-5825b49461ca" xlink:to="loc_srt_MaximumMember_0c2d3edf-fe84-40b7-9043-101178458d72" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ValuationTechniqueAxis_edd1189a-3b2d-465b-8f05-37dc0e6998a0" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ValuationTechniqueAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_cd0b88bd-da1b-467b-9ca2-b5d85f5af7d5" xlink:to="loc_us-gaap_ValuationTechniqueAxis_edd1189a-3b2d-465b-8f05-37dc0e6998a0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ValuationTechniqueDomain_82fb8cc3-1d32-4b6d-af85-9d49f6955691" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ValuationTechniqueDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ValuationTechniqueAxis_edd1189a-3b2d-465b-8f05-37dc0e6998a0" xlink:to="loc_us-gaap_ValuationTechniqueDomain_82fb8cc3-1d32-4b6d-af85-9d49f6955691" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ValuationTechniqueDiscountedCashFlowMember_4b060898-11e1-4353-af45-5ba373b1b031" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ValuationTechniqueDiscountedCashFlowMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ValuationTechniqueDomain_82fb8cc3-1d32-4b6d-af85-9d49f6955691" xlink:to="loc_us-gaap_ValuationTechniqueDiscountedCashFlowMember_4b060898-11e1-4353-af45-5ba373b1b031" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ValuationTechniqueMonteCarloSimulationMember_b740720a-2523-4407-af91-80e9bc4532a7" xlink:href="livn-20220630.xsd#livn_ValuationTechniqueMonteCarloSimulationMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ValuationTechniqueDomain_82fb8cc3-1d32-4b6d-af85-9d49f6955691" xlink:to="loc_livn_ValuationTechniqueMonteCarloSimulationMember_b740720a-2523-4407-af91-80e9bc4532a7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_87f37186-e83d-470f-8eca-4a1ac73386da" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_cd0b88bd-da1b-467b-9ca2-b5d85f5af7d5" xlink:to="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_87f37186-e83d-470f-8eca-4a1ac73386da" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_5bced0a5-e880-44d9-b44d-7f84f5dcda4b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis_87f37186-e83d-470f-8eca-4a1ac73386da" xlink:to="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_5bced0a5-e880-44d9-b44d-7f84f5dcda4b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel3Member_b18f98ab-c6f0-41a8-99c3-f67501d2f205" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueInputsLevel3Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_5bced0a5-e880-44d9-b44d-7f84f5dcda4b" xlink:to="loc_us-gaap_FairValueInputsLevel3Member_b18f98ab-c6f0-41a8-99c3-f67501d2f205" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputTypeAxis_62ded689-6dc5-4795-9be0-ba302fb0c422" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_MeasurementInputTypeAxis"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_cd0b88bd-da1b-467b-9ca2-b5d85f5af7d5" xlink:to="loc_us-gaap_MeasurementInputTypeAxis_62ded689-6dc5-4795-9be0-ba302fb0c422" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputTypeDomain_96abc91a-20d4-4d62-9e82-3c4b579d6e23" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_MeasurementInputTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MeasurementInputTypeAxis_62ded689-6dc5-4795-9be0-ba302fb0c422" xlink:to="loc_us-gaap_MeasurementInputTypeDomain_96abc91a-20d4-4d62-9e82-3c4b579d6e23" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputDiscountRateMember_43195828-3413-4450-bbb6-18c8abb04b90" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_MeasurementInputDiscountRateMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MeasurementInputTypeDomain_96abc91a-20d4-4d62-9e82-3c4b579d6e23" xlink:to="loc_us-gaap_MeasurementInputDiscountRateMember_43195828-3413-4450-bbb6-18c8abb04b90" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_MeasurementInputProbabilityofPaymentMember_d69d3317-3fc2-4854-b25b-c47fe2195f58" xlink:href="livn-20220630.xsd#livn_MeasurementInputProbabilityofPaymentMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MeasurementInputTypeDomain_96abc91a-20d4-4d62-9e82-3c4b579d6e23" xlink:to="loc_livn_MeasurementInputProbabilityofPaymentMember_d69d3317-3fc2-4854-b25b-c47fe2195f58" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_MeasurementInputRiskadjustedDiscountRateMember_f8a2f2f6-be88-4e09-bd43-e0a035400a26" xlink:href="livn-20220630.xsd#livn_MeasurementInputRiskadjustedDiscountRateMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MeasurementInputTypeDomain_96abc91a-20d4-4d62-9e82-3c4b579d6e23" xlink:to="loc_livn_MeasurementInputRiskadjustedDiscountRateMember_f8a2f2f6-be88-4e09-bd43-e0a035400a26" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_MeasurementInputCreditRiskDiscountRateMember_d2b741cc-50bd-4a54-81a8-6c1607419362" xlink:href="livn-20220630.xsd#livn_MeasurementInputCreditRiskDiscountRateMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MeasurementInputTypeDomain_96abc91a-20d4-4d62-9e82-3c4b579d6e23" xlink:to="loc_livn_MeasurementInputCreditRiskDiscountRateMember_d2b741cc-50bd-4a54-81a8-6c1607419362" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_MeasurementInputRevenueVolatilityMember_bd84e2a2-10b1-43b1-8915-0d081fa5b9fa" xlink:href="livn-20220630.xsd#livn_MeasurementInputRevenueVolatilityMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_MeasurementInputTypeDomain_96abc91a-20d4-4d62-9e82-3c4b579d6e23" xlink:to="loc_livn_MeasurementInputRevenueVolatilityMember_bd84e2a2-10b1-43b1-8915-0d081fa5b9fa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_40770016-3b32-4471-b377-8c31c4e0422c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_cd0b88bd-da1b-467b-9ca2-b5d85f5af7d5" xlink:to="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_40770016-3b32-4471-b377-8c31c4e0422c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_BusinessCombinationContingentConsiderationMeasurementInput_febf8eb2-ed4f-49f9-ac8a-b913f93e1984" xlink:href="livn-20220630.xsd#livn_BusinessCombinationContingentConsiderationMeasurementInput"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_40770016-3b32-4471-b377-8c31c4e0422c" xlink:to="loc_livn_BusinessCombinationContingentConsiderationMeasurementInput_febf8eb2-ed4f-49f9-ac8a-b913f93e1984" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/FinancingArrangements" xlink:type="simple" xlink:href="livn-20220630.xsd#FinancingArrangements"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/FinancingArrangements" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtDisclosureAbstract_57330108-71d4-400f-8030-c239257e1dcf" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtDisclosureTextBlock_59d0f192-8edb-4daa-b434-81d5af0b6ad3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtDisclosureAbstract_57330108-71d4-400f-8030-c239257e1dcf" xlink:to="loc_us-gaap_DebtDisclosureTextBlock_59d0f192-8edb-4daa-b434-81d5af0b6ad3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/FinancingArrangementsTables" xlink:type="simple" xlink:href="livn-20220630.xsd#FinancingArrangementsTables"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/FinancingArrangementsTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtDisclosureAbstract_727517b5-0087-48c3-a841-d0b42d693a17" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfDebtInstrumentsTextBlock_900ba32f-092a-4e65-a35d-1de34150d738" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfDebtInstrumentsTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtDisclosureAbstract_727517b5-0087-48c3-a841-d0b42d693a17" xlink:to="loc_us-gaap_ScheduleOfDebtInstrumentsTextBlock_900ba32f-092a-4e65-a35d-1de34150d738" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/FinancingArrangementsScheduleofDebtDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#FinancingArrangementsScheduleofDebtDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/FinancingArrangementsScheduleofDebtDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtDisclosureAbstract_af135ed8-3963-4bb9-9ba1-bd7331af8d46" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentTable_a580a688-331b-40be-ae1a-1133a69377a0" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtDisclosureAbstract_af135ed8-3963-4bb9-9ba1-bd7331af8d46" xlink:to="loc_us-gaap_DebtInstrumentTable_a580a688-331b-40be-ae1a-1133a69377a0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeAxis_20b7cd30-25e9-4b8f-a9d4-6bddb9435e1b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongtermDebtTypeAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_a580a688-331b-40be-ae1a-1133a69377a0" xlink:to="loc_us-gaap_LongtermDebtTypeAxis_20b7cd30-25e9-4b8f-a9d4-6bddb9435e1b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_81be2671-a269-4174-9b70-466dbc569ed4" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_20b7cd30-25e9-4b8f-a9d4-6bddb9435e1b" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_81be2671-a269-4174-9b70-466dbc569ed4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeniorNotesMember_643f8472-ac08-4d6a-b59c-7eb92b39eece" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SeniorNotesMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_81be2671-a269-4174-9b70-466dbc569ed4" xlink:to="loc_us-gaap_SeniorNotesMember_643f8472-ac08-4d6a-b59c-7eb92b39eece" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BridgeLoanMember_0b5e8acc-5e79-47a1-aa4d-c2d5898145a7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BridgeLoanMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_81be2671-a269-4174-9b70-466dbc569ed4" xlink:to="loc_us-gaap_BridgeLoanMember_0b5e8acc-5e79-47a1-aa4d-c2d5898145a7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LoansPayableMember_40aeb801-d438-4fcb-b072-eeb7c7451b9f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LoansPayableMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_81be2671-a269-4174-9b70-466dbc569ed4" xlink:to="loc_us-gaap_LoansPayableMember_40aeb801-d438-4fcb-b072-eeb7c7451b9f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherDebtSecuritiesMember_7bb37d55-d949-4d63-ab0b-17a3499bbd82" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherDebtSecuritiesMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_81be2671-a269-4174-9b70-466dbc569ed4" xlink:to="loc_us-gaap_OtherDebtSecuritiesMember_7bb37d55-d949-4d63-ab0b-17a3499bbd82" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityAxis_eb13e81e-9f9f-4599-b0b2-ff5b4d22e98f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LineOfCreditFacilityAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_a580a688-331b-40be-ae1a-1133a69377a0" xlink:to="loc_us-gaap_LineOfCreditFacilityAxis_eb13e81e-9f9f-4599-b0b2-ff5b4d22e98f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityLenderDomain_7961e701-69c1-4da4-ae24-4edd4d4e026f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LineOfCreditFacilityLenderDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LineOfCreditFacilityAxis_eb13e81e-9f9f-4599-b0b2-ff5b4d22e98f" xlink:to="loc_us-gaap_LineOfCreditFacilityLenderDomain_7961e701-69c1-4da4-ae24-4edd4d4e026f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_BankofAmericaMerrillLynchBancoMultiploS.A.Member_f8349cd6-589a-4fcc-a3f7-23d875393a2e" xlink:href="livn-20220630.xsd#livn_BankofAmericaMerrillLynchBancoMultiploS.A.Member"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LineOfCreditFacilityLenderDomain_7961e701-69c1-4da4-ae24-4edd4d4e026f" xlink:to="loc_livn_BankofAmericaMerrillLynchBancoMultiploS.A.Member_f8349cd6-589a-4fcc-a3f7-23d875393a2e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_MediocreditoItalianoMember_2cb8d0bd-0328-411b-bbe1-1ceac63d57f3" xlink:href="livn-20220630.xsd#livn_MediocreditoItalianoMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LineOfCreditFacilityLenderDomain_7961e701-69c1-4da4-ae24-4edd4d4e026f" xlink:to="loc_livn_MediocreditoItalianoMember_2cb8d0bd-0328-411b-bbe1-1ceac63d57f3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_BankofAmericaU.SMember_e3801e81-3a3d-4ed4-85d0-bcf862d35d1e" xlink:href="livn-20220630.xsd#livn_BankofAmericaU.SMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LineOfCreditFacilityLenderDomain_7961e701-69c1-4da4-ae24-4edd4d4e026f" xlink:to="loc_livn_BankofAmericaU.SMember_e3801e81-3a3d-4ed4-85d0-bcf862d35d1e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeAxis_fe49e572-10f4-43c9-9d03-2364b40d6ff8" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RangeAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_a580a688-331b-40be-ae1a-1133a69377a0" xlink:to="loc_srt_RangeAxis_fe49e572-10f4-43c9-9d03-2364b40d6ff8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember_46ce6028-fc37-40a3-958a-2b7c16b03faa" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RangeMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeAxis_fe49e572-10f4-43c9-9d03-2364b40d6ff8" xlink:to="loc_srt_RangeMember_46ce6028-fc37-40a3-958a-2b7c16b03faa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MinimumMember_c50f48a2-174a-466e-b9a6-ce59e83fa627" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_MinimumMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeMember_46ce6028-fc37-40a3-958a-2b7c16b03faa" xlink:to="loc_srt_MinimumMember_c50f48a2-174a-466e-b9a6-ce59e83fa627" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MaximumMember_77154365-c9e4-40ad-a189-10f04e331b06" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_MaximumMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeMember_46ce6028-fc37-40a3-958a-2b7c16b03faa" xlink:to="loc_srt_MaximumMember_77154365-c9e4-40ad-a189-10f04e331b06" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentLineItems_37565800-9a6a-40a8-82c4-51a9a3d11d9c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentLineItems"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_a580a688-331b-40be-ae1a-1133a69377a0" xlink:to="loc_us-gaap_DebtInstrumentLineItems_37565800-9a6a-40a8-82c4-51a9a3d11d9c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebt_b5d82c39-a73f-4916-8ca7-897f951d9775" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongTermDebt"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_37565800-9a6a-40a8-82c4-51a9a3d11d9c" xlink:to="loc_us-gaap_LongTermDebt_b5d82c39-a73f-4916-8ca7-897f951d9775" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtCurrent_d9bbb67b-e474-4dbc-b43c-90b6a257f885" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongTermDebtCurrent"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_37565800-9a6a-40a8-82c4-51a9a3d11d9c" xlink:to="loc_us-gaap_LongTermDebtCurrent_d9bbb67b-e474-4dbc-b43c-90b6a257f885" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtNoncurrent_8299fe56-00b7-4ca3-bc7b-f0bb1b0c8990" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongTermDebtNoncurrent"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_37565800-9a6a-40a8-82c4-51a9a3d11d9c" xlink:to="loc_us-gaap_LongTermDebtNoncurrent_8299fe56-00b7-4ca3-bc7b-f0bb1b0c8990" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage_501e4bcb-1fe0-4dcb-a7cd-bfcd7f550270" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentInterestRateStatedPercentage"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_37565800-9a6a-40a8-82c4-51a9a3d11d9c" xlink:to="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage_501e4bcb-1fe0-4dcb-a7cd-bfcd7f550270" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/FinancingArrangementsNarrativeDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#FinancingArrangementsNarrativeDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/FinancingArrangementsNarrativeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtDisclosureAbstract_81d2a8bd-d86a-43f3-a0f3-317a9725a1ca" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentTable_2395c666-f05f-4621-b427-670fb86eadc8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtDisclosureAbstract_81d2a8bd-d86a-43f3-a0f3-317a9725a1ca" xlink:to="loc_us-gaap_DebtInstrumentTable_2395c666-f05f-4621-b427-670fb86eadc8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityAxis_d5bbefa4-5bf4-478a-8df0-ced90306b528" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CreditFacilityAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2395c666-f05f-4621-b427-670fb86eadc8" xlink:to="loc_us-gaap_CreditFacilityAxis_d5bbefa4-5bf4-478a-8df0-ced90306b528" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain_e04e5c0e-1799-47c7-a1e5-a427b2779596" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CreditFacilityDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CreditFacilityAxis_d5bbefa4-5bf4-478a-8df0-ced90306b528" xlink:to="loc_us-gaap_CreditFacilityDomain_e04e5c0e-1799-47c7-a1e5-a427b2779596" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevolvingCreditFacilityMember_b3f84b1b-982b-46c4-a1af-b64e6ad4dc57" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RevolvingCreditFacilityMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CreditFacilityDomain_e04e5c0e-1799-47c7-a1e5-a427b2779596" xlink:to="loc_us-gaap_RevolvingCreditFacilityMember_b3f84b1b-982b-46c4-a1af-b64e6ad4dc57" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeAxis_6ada3c68-15a3-4723-97ec-3fb47a672479" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RangeAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2395c666-f05f-4621-b427-670fb86eadc8" xlink:to="loc_srt_RangeAxis_6ada3c68-15a3-4723-97ec-3fb47a672479" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember_543ed0d9-135f-4940-8698-b63669da920a" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RangeMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeAxis_6ada3c68-15a3-4723-97ec-3fb47a672479" xlink:to="loc_srt_RangeMember_543ed0d9-135f-4940-8698-b63669da920a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MinimumMember_940bbdb9-1cae-4c4c-8ab5-6446269033ea" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_MinimumMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeMember_543ed0d9-135f-4940-8698-b63669da920a" xlink:to="loc_srt_MinimumMember_940bbdb9-1cae-4c4c-8ab5-6446269033ea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MaximumMember_d02f5afb-b684-4fd0-ac0f-d4d5b916b0c4" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_MaximumMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeMember_543ed0d9-135f-4940-8698-b63669da920a" xlink:to="loc_srt_MaximumMember_d02f5afb-b684-4fd0-ac0f-d4d5b916b0c4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeAxis_257920d5-3d91-4b4d-a640-fe93817c394c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongtermDebtTypeAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2395c666-f05f-4621-b427-670fb86eadc8" xlink:to="loc_us-gaap_LongtermDebtTypeAxis_257920d5-3d91-4b4d-a640-fe93817c394c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_81fd3ecc-2c62-474b-85ae-7dbf2f11c1b6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_257920d5-3d91-4b4d-a640-fe93817c394c" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_81fd3ecc-2c62-474b-85ae-7dbf2f11c1b6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BridgeLoanMember_db5f8df5-c33a-493b-b9d8-9eed8c25ff82" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BridgeLoanMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_81fd3ecc-2c62-474b-85ae-7dbf2f11c1b6" xlink:to="loc_us-gaap_BridgeLoanMember_db5f8df5-c33a-493b-b9d8-9eed8c25ff82" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeniorNotesMember_32fec180-1839-412a-b768-c679aa274df3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SeniorNotesMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_81fd3ecc-2c62-474b-85ae-7dbf2f11c1b6" xlink:to="loc_us-gaap_SeniorNotesMember_32fec180-1839-412a-b768-c679aa274df3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentRiskAxis_dad0de15-f232-43f9-8d1b-d79225125eaf" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeInstrumentRiskAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2395c666-f05f-4621-b427-670fb86eadc8" xlink:to="loc_us-gaap_DerivativeInstrumentRiskAxis_dad0de15-f232-43f9-8d1b-d79225125eaf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeContractTypeDomain_2c03ca59-1a70-432b-8043-685577b23456" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeContractTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis_dad0de15-f232-43f9-8d1b-d79225125eaf" xlink:to="loc_us-gaap_DerivativeContractTypeDomain_2c03ca59-1a70-432b-8043-685577b23456" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_CappedCallMember_102b9bc7-5830-45bd-b98c-5b384b106e65" xlink:href="livn-20220630.xsd#livn_CappedCallMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_2c03ca59-1a70-432b-8043-685577b23456" xlink:to="loc_livn_CappedCallMember_102b9bc7-5830-45bd-b98c-5b384b106e65" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_VariableRateAxis_726ee4f3-83b2-43f4-8c4b-970c6213cffb" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_VariableRateAxis"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2395c666-f05f-4621-b427-670fb86eadc8" xlink:to="loc_us-gaap_VariableRateAxis_726ee4f3-83b2-43f4-8c4b-970c6213cffb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_VariableRateDomain_918b878c-51f9-4431-bc76-f5d89e114879" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_VariableRateDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_VariableRateAxis_726ee4f3-83b2-43f4-8c4b-970c6213cffb" xlink:to="loc_us-gaap_VariableRateDomain_918b878c-51f9-4431-bc76-f5d89e114879" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LondonInterbankOfferedRateLIBORMember_ffbf9677-dd79-4759-ab6d-6f39e5906cf3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LondonInterbankOfferedRateLIBORMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_VariableRateDomain_918b878c-51f9-4431-bc76-f5d89e114879" xlink:to="loc_us-gaap_LondonInterbankOfferedRateLIBORMember_ffbf9677-dd79-4759-ab6d-6f39e5906cf3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_da044131-ecf0-421f-a753-6462bbb45278" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_VariableRateDomain_918b878c-51f9-4431-bc76-f5d89e114879" xlink:to="loc_us-gaap_SecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_da044131-ecf0-421f-a753-6462bbb45278" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_EuroInterbankOfferedRateEURIBORMember_78dbcd0a-fe1e-4dc0-85dc-2324a5e7eced" xlink:href="livn-20220630.xsd#livn_EuroInterbankOfferedRateEURIBORMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_VariableRateDomain_918b878c-51f9-4431-bc76-f5d89e114879" xlink:to="loc_livn_EuroInterbankOfferedRateEURIBORMember_78dbcd0a-fe1e-4dc0-85dc-2324a5e7eced" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_LitigationCaseAxis_02c4bebf-9a9c-4996-afa5-62d2f0ee7814" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_LitigationCaseAxis"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2395c666-f05f-4621-b427-670fb86eadc8" xlink:to="loc_srt_LitigationCaseAxis_02c4bebf-9a9c-4996-afa5-62d2f0ee7814" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_LitigationCaseTypeDomain_31636234-29bd-418d-9d1c-7ed320be4bec" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_LitigationCaseTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_LitigationCaseAxis_02c4bebf-9a9c-4996-afa5-62d2f0ee7814" xlink:to="loc_srt_LitigationCaseTypeDomain_31636234-29bd-418d-9d1c-7ed320be4bec" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_SNIAMember_adb1f979-e472-4192-9dec-ca570e43ed29" xlink:href="livn-20220630.xsd#livn_SNIAMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_LitigationCaseTypeDomain_31636234-29bd-418d-9d1c-7ed320be4bec" xlink:to="loc_livn_SNIAMember_adb1f979-e472-4192-9dec-ca570e43ed29" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LitigationStatusAxis_9aaf5c65-a01a-4dfb-85e9-feb603cddf5b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LitigationStatusAxis"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2395c666-f05f-4621-b427-670fb86eadc8" xlink:to="loc_us-gaap_LitigationStatusAxis_9aaf5c65-a01a-4dfb-85e9-feb603cddf5b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LitigationStatusDomain_67c48e34-828f-4797-81b1-20399b4b22a2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LitigationStatusDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LitigationStatusAxis_9aaf5c65-a01a-4dfb-85e9-feb603cddf5b" xlink:to="loc_us-gaap_LitigationStatusDomain_67c48e34-828f-4797-81b1-20399b4b22a2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_JudicialRulingMember_9d6a373b-9c1a-470f-9828-40459984557e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_JudicialRulingMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LitigationStatusDomain_67c48e34-828f-4797-81b1-20399b4b22a2" xlink:to="loc_us-gaap_JudicialRulingMember_9d6a373b-9c1a-470f-9828-40459984557e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityAxis_68fac076-c7e3-4db3-a8a9-64e0faba3b13" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LineOfCreditFacilityAxis"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2395c666-f05f-4621-b427-670fb86eadc8" xlink:to="loc_us-gaap_LineOfCreditFacilityAxis_68fac076-c7e3-4db3-a8a9-64e0faba3b13" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityLenderDomain_daead65d-ec58-4dbe-9ff7-782eb6e73c24" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LineOfCreditFacilityLenderDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LineOfCreditFacilityAxis_68fac076-c7e3-4db3-a8a9-64e0faba3b13" xlink:to="loc_us-gaap_LineOfCreditFacilityLenderDomain_daead65d-ec58-4dbe-9ff7-782eb6e73c24" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_GoldmanSachsBankUSAMember_c5136786-a17d-4727-8090-9717b30e3fec" xlink:href="livn-20220630.xsd#livn_GoldmanSachsBankUSAMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LineOfCreditFacilityLenderDomain_daead65d-ec58-4dbe-9ff7-782eb6e73c24" xlink:to="loc_livn_GoldmanSachsBankUSAMember_c5136786-a17d-4727-8090-9717b30e3fec" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentInterestRateIncreasePeriodAxis_1e125200-724c-4ccc-8021-d881efb027cd" xlink:href="livn-20220630.xsd#livn_DebtInstrumentInterestRateIncreasePeriodAxis"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2395c666-f05f-4621-b427-670fb86eadc8" xlink:to="loc_livn_DebtInstrumentInterestRateIncreasePeriodAxis_1e125200-724c-4ccc-8021-d881efb027cd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentInterestRateIncreasePeriodDomain_1e0dfbeb-5ffd-4af3-b533-9ccdc0481512" xlink:href="livn-20220630.xsd#livn_DebtInstrumentInterestRateIncreasePeriodDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_livn_DebtInstrumentInterestRateIncreasePeriodAxis_1e125200-724c-4ccc-8021-d881efb027cd" xlink:to="loc_livn_DebtInstrumentInterestRateIncreasePeriodDomain_1e0dfbeb-5ffd-4af3-b533-9ccdc0481512" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentInterestRateIncreasePeriodOneMember_1b2ead0a-dade-4e99-8624-999fd0ef23dd" xlink:href="livn-20220630.xsd#livn_DebtInstrumentInterestRateIncreasePeriodOneMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_livn_DebtInstrumentInterestRateIncreasePeriodDomain_1e0dfbeb-5ffd-4af3-b533-9ccdc0481512" xlink:to="loc_livn_DebtInstrumentInterestRateIncreasePeriodOneMember_1b2ead0a-dade-4e99-8624-999fd0ef23dd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentInterestRateIncreasePeriodTwoMember_5fa0d77c-78d5-48fd-b760-94280242c115" xlink:href="livn-20220630.xsd#livn_DebtInstrumentInterestRateIncreasePeriodTwoMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_livn_DebtInstrumentInterestRateIncreasePeriodDomain_1e0dfbeb-5ffd-4af3-b533-9ccdc0481512" xlink:to="loc_livn_DebtInstrumentInterestRateIncreasePeriodTwoMember_5fa0d77c-78d5-48fd-b760-94280242c115" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentInterestRateIncreasePeriodThreeMember_219519cc-0f2e-45ae-820d-7fe6f5132ce1" xlink:href="livn-20220630.xsd#livn_DebtInstrumentInterestRateIncreasePeriodThreeMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_livn_DebtInstrumentInterestRateIncreasePeriodDomain_1e0dfbeb-5ffd-4af3-b533-9ccdc0481512" xlink:to="loc_livn_DebtInstrumentInterestRateIncreasePeriodThreeMember_219519cc-0f2e-45ae-820d-7fe6f5132ce1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentLineItems"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_2395c666-f05f-4621-b427-670fb86eadc8" xlink:to="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShortTermBorrowings_9aa02105-ac1d-448a-b8a8-42bd232e562f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ShortTermBorrowings"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_ShortTermBorrowings_9aa02105-ac1d-448a-b8a8-42bd232e562f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentInterestRateEffectivePercentage_2ab131f0-aaf9-4a9b-b80a-16d57472fd18" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentInterestRateEffectivePercentage"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_DebtInstrumentInterestRateEffectivePercentage_2ab131f0-aaf9-4a9b-b80a-16d57472fd18" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentTerm_771a7c76-d77e-4088-88ee-24592939f3f3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentTerm"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_DebtInstrumentTerm_771a7c76-d77e-4088-88ee-24592939f3f3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_21fdc69b-cda9-4137-b343-940555343c89" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_21fdc69b-cda9-4137-b343-940555343c89" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentLIBORFloorRate_f6d54efe-9a91-4629-b343-fd0425d1ea94" xlink:href="livn-20220630.xsd#livn_DebtInstrumentLIBORFloorRate"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_livn_DebtInstrumentLIBORFloorRate_f6d54efe-9a91-4629-b343-fd0425d1ea94" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCredit_e39e809a-3325-4534-a753-d97b7ca07f89" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LineOfCredit"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_LineOfCredit_e39e809a-3325-4534-a753-d97b7ca07f89" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_LossContingencyAccrualPercentageOfCashCollateralRequiredAsGuarantee_6a6d5bff-e4d2-44c1-8b01-fdbabeb88235" xlink:href="livn-20220630.xsd#livn_LossContingencyAccrualPercentageOfCashCollateralRequiredAsGuarantee"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_livn_LossContingencyAccrualPercentageOfCashCollateralRequiredAsGuarantee_6a6d5bff-e4d2-44c1-8b01-fdbabeb88235" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue_a5a0285e-13bb-4b62-848e-4d496b2f5150" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue_a5a0285e-13bb-4b62-848e-4d496b2f5150" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_4d454a6c-8447-4e85-8e93-1d509bfb6855" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentBasisSpreadOnVariableRate1"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_4d454a6c-8447-4e85-8e93-1d509bfb6855" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentIncreaseInBasisSpreadOnVariableRate_33e6de8d-6d8d-4239-b00f-1bd2988bbf82" xlink:href="livn-20220630.xsd#livn_DebtInstrumentIncreaseInBasisSpreadOnVariableRate"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_livn_DebtInstrumentIncreaseInBasisSpreadOnVariableRate_33e6de8d-6d8d-4239-b00f-1bd2988bbf82" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentPeriodOfInterestRateIncrease_8d864a86-e626-4980-9773-86111ba5966a" xlink:href="livn-20220630.xsd#livn_DebtInstrumentPeriodOfInterestRateIncrease"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_livn_DebtInstrumentPeriodOfInterestRateIncrease_8d864a86-e626-4980-9773-86111ba5966a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentMaximumInterestRate_3f429207-eafd-4000-9d87-7317f230787c" xlink:href="livn-20220630.xsd#livn_DebtInstrumentMaximumInterestRate"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_livn_DebtInstrumentMaximumInterestRate_3f429207-eafd-4000-9d87-7317f230787c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentUnamortizedDiscountPremiumAndDebtIssuanceCostsNet_39f7fd8a-5553-4ef0-a50a-f125d43a7c2a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentUnamortizedDiscountPremiumAndDebtIssuanceCostsNet"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_DebtInstrumentUnamortizedDiscountPremiumAndDebtIssuanceCostsNet_39f7fd8a-5553-4ef0-a50a-f125d43a7c2a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfFinancingCosts_fe78dce6-769f-4b0e-9fd4-e1fa197e90c5" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AmortizationOfFinancingCosts"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_AmortizationOfFinancingCosts_fe78dce6-769f-4b0e-9fd4-e1fa197e90c5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentUnamortizedDiscountPremiumNet_e201c5b1-412d-4cc7-9dfa-fc96aed18925" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentUnamortizedDiscountPremiumNet"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_DebtInstrumentUnamortizedDiscountPremiumNet_e201c5b1-412d-4cc7-9dfa-fc96aed18925" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentFaceAmount_e8b0130b-aa31-44f4-8483-2628bb345d09" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentFaceAmount"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_DebtInstrumentFaceAmount_e8b0130b-aa31-44f4-8483-2628bb345d09" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredFinanceCostsNet_7bf84365-3f2f-4ec7-9ea6-347a54657dfc" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DeferredFinanceCostsNet"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_DeferredFinanceCostsNet_7bf84365-3f2f-4ec7-9ea6-347a54657dfc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage_c59d6bd0-2cee-495f-861f-edae06ccb38c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentInterestRateStatedPercentage"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage_c59d6bd0-2cee-495f-861f-edae06ccb38c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfLongTermDebt_1b3b7548-088b-4d6f-ba53-4cd23251fe5c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ProceedsFromIssuanceOfLongTermDebt"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfLongTermDebt_1b3b7548-088b-4d6f-ba53-4cd23251fe5c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentUnamortizedDiscount_cdf94aac-8734-4a80-967b-7638029930c2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentUnamortizedDiscount"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_DebtInstrumentUnamortizedDiscount_cdf94aac-8734-4a80-967b-7638029930c2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentRedemptionThresholdParValue_c32a700d-0359-4899-b55a-829e2b5edaa8" xlink:href="livn-20220630.xsd#livn_DebtInstrumentRedemptionThresholdParValue"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_livn_DebtInstrumentRedemptionThresholdParValue_c32a700d-0359-4899-b55a-829e2b5edaa8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentRedemptionPricePercentageOfExchangePrice_db618eb9-c5ad-402f-894c-ae518b38c819" xlink:href="livn-20220630.xsd#livn_DebtInstrumentRedemptionPricePercentageOfExchangePrice"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_livn_DebtInstrumentRedemptionPricePercentageOfExchangePrice_db618eb9-c5ad-402f-894c-ae518b38c819" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentConvertibleConversionPrice1_820b196b-a86a-4feb-a5c9-1e05f16d8e9a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentConvertibleConversionPrice1"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_DebtInstrumentConvertibleConversionPrice1_820b196b-a86a-4feb-a5c9-1e05f16d8e9a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentRedemptionThresholdTradingDays_92631f1d-ef8d-4822-94ac-5a7b1a4e39cc" xlink:href="livn-20220630.xsd#livn_DebtInstrumentRedemptionThresholdTradingDays"/>
    <link:presentationArc order="24" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_livn_DebtInstrumentRedemptionThresholdTradingDays_92631f1d-ef8d-4822-94ac-5a7b1a4e39cc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentRedemptionThresholdConsecutiveTradingDays_31fed88a-73dc-46ad-a502-8d20538e6890" xlink:href="livn-20220630.xsd#livn_DebtInstrumentRedemptionThresholdConsecutiveTradingDays"/>
    <link:presentationArc order="25" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_livn_DebtInstrumentRedemptionThresholdConsecutiveTradingDays_31fed88a-73dc-46ad-a502-8d20538e6890" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentOptionToExchangePricePerShare_4dd092d7-d966-49e4-bb12-165153c63980" xlink:href="livn-20220630.xsd#livn_DebtInstrumentOptionToExchangePricePerShare"/>
    <link:presentationArc order="26" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_livn_DebtInstrumentOptionToExchangePricePerShare_4dd092d7-d966-49e4-bb12-165153c63980" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentRedemptionPricePercentage_0a56ed05-b360-4978-bdcc-b850701a7025" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentRedemptionPricePercentage"/>
    <link:presentationArc order="27" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_DebtInstrumentRedemptionPricePercentage_0a56ed05-b360-4978-bdcc-b850701a7025" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmbeddedDerivativeFairValueOfEmbeddedDerivativeLiability_aa14c8c7-fe0e-49d3-8cd8-adbe950b6fcb" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EmbeddedDerivativeFairValueOfEmbeddedDerivativeLiability"/>
    <link:presentationArc order="28" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_EmbeddedDerivativeFairValueOfEmbeddedDerivativeLiability_aa14c8c7-fe0e-49d3-8cd8-adbe950b6fcb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DerivativeCapPricePerShare_ef714047-5ed4-4350-8c57-9b025678ea88" xlink:href="livn-20220630.xsd#livn_DerivativeCapPricePerShare"/>
    <link:presentationArc order="29" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_livn_DerivativeCapPricePerShare_ef714047-5ed4-4350-8c57-9b025678ea88" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssets_90d23057-6cb3-46cf-bb03-2f0dfa115632" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeAssets"/>
    <link:presentationArc order="30" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_us-gaap_DerivativeAssets_90d23057-6cb3-46cf-bb03-2f0dfa115632" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentExchangeableConversionRatio_3dad19e1-3984-4630-9633-a886817d116f" xlink:href="livn-20220630.xsd#livn_DebtInstrumentExchangeableConversionRatio"/>
    <link:presentationArc order="31" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_0bad7d56-4a63-4ed9-a161-57573f420cac" xlink:to="loc_livn_DebtInstrumentExchangeableConversionRatio_3dad19e1-3984-4630-9633-a886817d116f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/DerivativesandRiskManagement" xlink:type="simple" xlink:href="livn-20220630.xsd#DerivativesandRiskManagement"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/DerivativesandRiskManagement" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract_871232f6-b929-4e64-8de4-820c7cd96406" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock_2c63f895-580e-478d-9228-1d7449825bd0" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract_871232f6-b929-4e64-8de4-820c7cd96406" xlink:to="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock_2c63f895-580e-478d-9228-1d7449825bd0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/DerivativesandRiskManagementTables" xlink:type="simple" xlink:href="livn-20220630.xsd#DerivativesandRiskManagementTables"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/DerivativesandRiskManagementTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract_5bc796f6-f568-47f7-b8eb-a4c1c27b5049" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfNotionalAmountsOfOutstandingDerivativePositionsTableTextBlock_e994242a-b07a-41e7-90d2-ddc079101595" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfNotionalAmountsOfOutstandingDerivativePositionsTableTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract_5bc796f6-f568-47f7-b8eb-a4c1c27b5049" xlink:to="loc_us-gaap_ScheduleOfNotionalAmountsOfOutstandingDerivativePositionsTableTextBlock_e994242a-b07a-41e7-90d2-ddc079101595" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfCashFlowHedgesIncludedInAccumulatedOtherComprehensiveIncomeLossTableTextBlock_2a9736a1-f60d-4476-a69b-4a6e72229fda" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfCashFlowHedgesIncludedInAccumulatedOtherComprehensiveIncomeLossTableTextBlock"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract_5bc796f6-f568-47f7-b8eb-a4c1c27b5049" xlink:to="loc_us-gaap_ScheduleOfCashFlowHedgesIncludedInAccumulatedOtherComprehensiveIncomeLossTableTextBlock_2a9736a1-f60d-4476-a69b-4a6e72229fda" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock_cb84469e-6993-4674-8abb-e8b9f8c1526c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract_5bc796f6-f568-47f7-b8eb-a4c1c27b5049" xlink:to="loc_us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock_cb84469e-6993-4674-8abb-e8b9f8c1526c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/DerivativesandRiskManagementNarrativeDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#DerivativesandRiskManagementNarrativeDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/DerivativesandRiskManagementNarrativeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract_df3fc17f-fe09-4e14-a02d-824febe358f6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeTable_983f2e7a-b4a9-4811-8ffb-31142b12d0db" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract_df3fc17f-fe09-4e14-a02d-824febe358f6" xlink:to="loc_us-gaap_DerivativeTable_983f2e7a-b4a9-4811-8ffb-31142b12d0db" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HedgingDesignationAxis_a7219c03-fafe-4482-87a6-3d4f10fd9cdf" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_HedgingDesignationAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeTable_983f2e7a-b4a9-4811-8ffb-31142b12d0db" xlink:to="loc_us-gaap_HedgingDesignationAxis_a7219c03-fafe-4482-87a6-3d4f10fd9cdf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HedgingDesignationDomain_d15f8276-4dca-4a08-8b49-df9b674b1736" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_HedgingDesignationDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_HedgingDesignationAxis_a7219c03-fafe-4482-87a6-3d4f10fd9cdf" xlink:to="loc_us-gaap_HedgingDesignationDomain_d15f8276-4dca-4a08-8b49-df9b674b1736" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NondesignatedMember_a8b4d16e-84fc-403a-8473-c2f5bbe6530c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NondesignatedMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_HedgingDesignationDomain_d15f8276-4dca-4a08-8b49-df9b674b1736" xlink:to="loc_us-gaap_NondesignatedMember_a8b4d16e-84fc-403a-8473-c2f5bbe6530c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentRiskAxis_37ac971d-e8f0-43fb-ba45-0f1edda8e265" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeInstrumentRiskAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeTable_983f2e7a-b4a9-4811-8ffb-31142b12d0db" xlink:to="loc_us-gaap_DerivativeInstrumentRiskAxis_37ac971d-e8f0-43fb-ba45-0f1edda8e265" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeContractTypeDomain_e3ac0981-303c-4fc5-ac3d-0c42adbd99b3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeContractTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis_37ac971d-e8f0-43fb-ba45-0f1edda8e265" xlink:to="loc_us-gaap_DerivativeContractTypeDomain_e3ac0981-303c-4fc5-ac3d-0c42adbd99b3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ForeignExchangeContractMember_d252c237-2121-4642-9f6c-577b273cc6f8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ForeignExchangeContractMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_e3ac0981-303c-4fc5-ac3d-0c42adbd99b3" xlink:to="loc_us-gaap_ForeignExchangeContractMember_d252c237-2121-4642-9f6c-577b273cc6f8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementLocationAxis_939e0a2d-4816-4897-9be5-ec91f21005f6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeStatementLocationAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeTable_983f2e7a-b4a9-4811-8ffb-31142b12d0db" xlink:to="loc_us-gaap_IncomeStatementLocationAxis_939e0a2d-4816-4897-9be5-ec91f21005f6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementLocationDomain_055480c3-f51e-43e3-89bf-ddf7c3e6b07d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeStatementLocationDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementLocationAxis_939e0a2d-4816-4897-9be5-ec91f21005f6" xlink:to="loc_us-gaap_IncomeStatementLocationDomain_055480c3-f51e-43e3-89bf-ddf7c3e6b07d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ForeignExchangeandOtherMember_76fbe83b-eaac-4d0b-89f1-89316df07039" xlink:href="livn-20220630.xsd#livn_ForeignExchangeandOtherMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementLocationDomain_055480c3-f51e-43e3-89bf-ddf7c3e6b07d" xlink:to="loc_livn_ForeignExchangeandOtherMember_76fbe83b-eaac-4d0b-89f1-89316df07039" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLineItems_291ab2b3-40c9-4e72-a514-26cf086df149" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeLineItems"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeTable_983f2e7a-b4a9-4811-8ffb-31142b12d0db" xlink:to="loc_us-gaap_DerivativeLineItems_291ab2b3-40c9-4e72-a514-26cf086df149" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeNotionalAmount_2c6c7469-eed4-477b-9ad9-fc9e3c4fa0d2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeNotionalAmount"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeLineItems_291ab2b3-40c9-4e72-a514-26cf086df149" xlink:to="loc_us-gaap_DerivativeNotionalAmount_2c6c7469-eed4-477b-9ad9-fc9e3c4fa0d2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeGainLossOnDerivativeNet_e421b5d6-48f7-4a7e-8ac8-90cf4a4cd8e8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeGainLossOnDerivativeNet"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeLineItems_291ab2b3-40c9-4e72-a514-26cf086df149" xlink:to="loc_us-gaap_DerivativeGainLossOnDerivativeNet_e421b5d6-48f7-4a7e-8ac8-90cf4a4cd8e8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/DerivativesandRiskManagementDerivativeNotionalAmountsDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#DerivativesandRiskManagementDerivativeNotionalAmountsDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/DerivativesandRiskManagementDerivativeNotionalAmountsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract_cfcf7e64-f7c5-4ab1-bb30-bda20f88d178" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeTable_5d5b5b52-b8d5-4ad5-835b-cb9eb5ea198b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract_cfcf7e64-f7c5-4ab1-bb30-bda20f88d178" xlink:to="loc_us-gaap_DerivativeTable_5d5b5b52-b8d5-4ad5-835b-cb9eb5ea198b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HedgingDesignationAxis_6860e911-9fc1-4efb-92d4-913f2025f106" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_HedgingDesignationAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeTable_5d5b5b52-b8d5-4ad5-835b-cb9eb5ea198b" xlink:to="loc_us-gaap_HedgingDesignationAxis_6860e911-9fc1-4efb-92d4-913f2025f106" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HedgingDesignationDomain_9bd34202-2618-4244-81af-6b724731959a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_HedgingDesignationDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_HedgingDesignationAxis_6860e911-9fc1-4efb-92d4-913f2025f106" xlink:to="loc_us-gaap_HedgingDesignationDomain_9bd34202-2618-4244-81af-6b724731959a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DesignatedAsHedgingInstrumentMember_c0de3564-b28c-4ec5-8835-01a018e9dffe" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DesignatedAsHedgingInstrumentMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_HedgingDesignationDomain_9bd34202-2618-4244-81af-6b724731959a" xlink:to="loc_us-gaap_DesignatedAsHedgingInstrumentMember_c0de3564-b28c-4ec5-8835-01a018e9dffe" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis_c829d96c-c4fb-47e6-add5-6213f423c0e5" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeTable_5d5b5b52-b8d5-4ad5-835b-cb9eb5ea198b" xlink:to="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis_c829d96c-c4fb-47e6-add5-6213f423c0e5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HedgingRelationshipDomain_e88b5e1c-694b-47dc-80f5-e68bf0a1e610" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_HedgingRelationshipDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis_c829d96c-c4fb-47e6-add5-6213f423c0e5" xlink:to="loc_us-gaap_HedgingRelationshipDomain_e88b5e1c-694b-47dc-80f5-e68bf0a1e610" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashFlowHedgingMember_0a316a22-cebd-4b78-915b-4072ff0eaf59" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CashFlowHedgingMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_HedgingRelationshipDomain_e88b5e1c-694b-47dc-80f5-e68bf0a1e610" xlink:to="loc_us-gaap_CashFlowHedgingMember_0a316a22-cebd-4b78-915b-4072ff0eaf59" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentRiskAxis_52f13527-8c69-40b5-858a-9bc8fcb38ca6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeInstrumentRiskAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeTable_5d5b5b52-b8d5-4ad5-835b-cb9eb5ea198b" xlink:to="loc_us-gaap_DerivativeInstrumentRiskAxis_52f13527-8c69-40b5-858a-9bc8fcb38ca6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeContractTypeDomain_7338c75e-00d6-4735-9beb-16ac3db73f4f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeContractTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis_52f13527-8c69-40b5-858a-9bc8fcb38ca6" xlink:to="loc_us-gaap_DerivativeContractTypeDomain_7338c75e-00d6-4735-9beb-16ac3db73f4f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ForeignExchangeContractMember_859102ec-47fb-4426-89bd-43cf4d4f260d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ForeignExchangeContractMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_7338c75e-00d6-4735-9beb-16ac3db73f4f" xlink:to="loc_us-gaap_ForeignExchangeContractMember_859102ec-47fb-4426-89bd-43cf4d4f260d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_CurrencyAxis_69bee0c0-2896-45dd-bc85-2ee77b868d9a" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_CurrencyAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeTable_5d5b5b52-b8d5-4ad5-835b-cb9eb5ea198b" xlink:to="loc_srt_CurrencyAxis_69bee0c0-2896-45dd-bc85-2ee77b868d9a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_currency_AllCurrenciesDomain_3aa1b388-bb7f-420c-bf0a-5a019eb86e06" xlink:href="https://xbrl.sec.gov/currency/2022/currency-2022.xsd#currency_AllCurrenciesDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_CurrencyAxis_69bee0c0-2896-45dd-bc85-2ee77b868d9a" xlink:to="loc_currency_AllCurrenciesDomain_3aa1b388-bb7f-420c-bf0a-5a019eb86e06" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_currency_GBP_782b0499-e7e5-4a4a-8f4f-0b0526c671d5" xlink:href="https://xbrl.sec.gov/currency/2022/currency-2022.xsd#currency_GBP"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_currency_AllCurrenciesDomain_3aa1b388-bb7f-420c-bf0a-5a019eb86e06" xlink:to="loc_currency_GBP_782b0499-e7e5-4a4a-8f4f-0b0526c671d5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_currency_JPY_6362b336-9255-4f73-93d2-4307d32dfb7c" xlink:href="https://xbrl.sec.gov/currency/2022/currency-2022.xsd#currency_JPY"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_currency_AllCurrenciesDomain_3aa1b388-bb7f-420c-bf0a-5a019eb86e06" xlink:to="loc_currency_JPY_6362b336-9255-4f73-93d2-4307d32dfb7c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_currency_EUR_f98288ba-12ac-4adb-aed7-37d5d05f9182" xlink:href="https://xbrl.sec.gov/currency/2022/currency-2022.xsd#currency_EUR"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_currency_AllCurrenciesDomain_3aa1b388-bb7f-420c-bf0a-5a019eb86e06" xlink:to="loc_currency_EUR_f98288ba-12ac-4adb-aed7-37d5d05f9182" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLineItems_3219e68a-b848-4b97-8d16-30886d131bd9" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeLineItems"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeTable_5d5b5b52-b8d5-4ad5-835b-cb9eb5ea198b" xlink:to="loc_us-gaap_DerivativeLineItems_3219e68a-b848-4b97-8d16-30886d131bd9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeNotionalAmount_7e4aa7cd-bcf0-406e-a6d1-df645d95cd79" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeNotionalAmount"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeLineItems_3219e68a-b848-4b97-8d16-30886d131bd9" xlink:to="loc_us-gaap_DerivativeNotionalAmount_7e4aa7cd-bcf0-406e-a6d1-df645d95cd79" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/DerivativesandRiskManagementAmountofGainLossRecognizedinOCIandIncomeStatementDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#DerivativesandRiskManagementAmountofGainLossRecognizedinOCIandIncomeStatementDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/DerivativesandRiskManagementAmountofGainLossRecognizedinOCIandIncomeStatementDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract_93bd0aba-0a18-4233-a21b-0721732d6b62" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable_f3186c0a-ea0d-49b6-872d-31dc4465d1ba" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract_93bd0aba-0a18-4233-a21b-0721732d6b62" xlink:to="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable_f3186c0a-ea0d-49b6-872d-31dc4465d1ba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HedgingDesignationAxis_d096c10a-e0d9-4148-a7c8-c3a894bfce55" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_HedgingDesignationAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable_f3186c0a-ea0d-49b6-872d-31dc4465d1ba" xlink:to="loc_us-gaap_HedgingDesignationAxis_d096c10a-e0d9-4148-a7c8-c3a894bfce55" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HedgingDesignationDomain_28f99b97-b229-403a-b025-6a05550f4a72" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_HedgingDesignationDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_HedgingDesignationAxis_d096c10a-e0d9-4148-a7c8-c3a894bfce55" xlink:to="loc_us-gaap_HedgingDesignationDomain_28f99b97-b229-403a-b025-6a05550f4a72" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DesignatedAsHedgingInstrumentMember_ae1b125b-7abe-42d2-abd8-147c44e88f50" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DesignatedAsHedgingInstrumentMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_HedgingDesignationDomain_28f99b97-b229-403a-b025-6a05550f4a72" xlink:to="loc_us-gaap_DesignatedAsHedgingInstrumentMember_ae1b125b-7abe-42d2-abd8-147c44e88f50" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis_2ff08e63-823b-4245-b70d-a3f8df3fcf87" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable_f3186c0a-ea0d-49b6-872d-31dc4465d1ba" xlink:to="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis_2ff08e63-823b-4245-b70d-a3f8df3fcf87" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HedgingRelationshipDomain_7fa0a645-40af-4808-94bb-ef1a28958bfa" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_HedgingRelationshipDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis_2ff08e63-823b-4245-b70d-a3f8df3fcf87" xlink:to="loc_us-gaap_HedgingRelationshipDomain_7fa0a645-40af-4808-94bb-ef1a28958bfa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashFlowHedgingMember_b3c12b98-ba8a-4599-ae24-daad5effd2ed" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CashFlowHedgingMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_HedgingRelationshipDomain_7fa0a645-40af-4808-94bb-ef1a28958bfa" xlink:to="loc_us-gaap_CashFlowHedgingMember_b3c12b98-ba8a-4599-ae24-daad5effd2ed" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentRiskAxis_d269b4ca-c0eb-4dc3-a9bd-b0932069f38e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeInstrumentRiskAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable_f3186c0a-ea0d-49b6-872d-31dc4465d1ba" xlink:to="loc_us-gaap_DerivativeInstrumentRiskAxis_d269b4ca-c0eb-4dc3-a9bd-b0932069f38e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeContractTypeDomain_ed101f29-6ade-4241-84f5-64995bc75945" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeContractTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis_d269b4ca-c0eb-4dc3-a9bd-b0932069f38e" xlink:to="loc_us-gaap_DerivativeContractTypeDomain_ed101f29-6ade-4241-84f5-64995bc75945" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ForeignExchangeContractMember_74201f6f-ed5f-4a59-9256-8e17a48f7739" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ForeignExchangeContractMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_ed101f29-6ade-4241-84f5-64995bc75945" xlink:to="loc_us-gaap_ForeignExchangeContractMember_74201f6f-ed5f-4a59-9256-8e17a48f7739" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementLocationAxis_9e1966ab-ea41-451b-8cff-fefada9083d8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeStatementLocationAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable_f3186c0a-ea0d-49b6-872d-31dc4465d1ba" xlink:to="loc_us-gaap_IncomeStatementLocationAxis_9e1966ab-ea41-451b-8cff-fefada9083d8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementLocationDomain_01cf9e62-2a66-4a6f-b693-2fca319107a4" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeStatementLocationDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementLocationAxis_9e1966ab-ea41-451b-8cff-fefada9083d8" xlink:to="loc_us-gaap_IncomeStatementLocationDomain_01cf9e62-2a66-4a6f-b693-2fca319107a4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ForeignExchangeandOtherMember_1bf667f7-1401-4185-bec6-d761cd1bc578" xlink:href="livn-20220630.xsd#livn_ForeignExchangeandOtherMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementLocationDomain_01cf9e62-2a66-4a6f-b693-2fca319107a4" xlink:to="loc_livn_ForeignExchangeandOtherMember_1bf667f7-1401-4185-bec6-d761cd1bc578" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SellingGeneralAndAdministrativeExpensesMember_9c5c6f51-289e-4f5a-b764-27314aaacc5c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SellingGeneralAndAdministrativeExpensesMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeStatementLocationDomain_01cf9e62-2a66-4a6f-b693-2fca319107a4" xlink:to="loc_us-gaap_SellingGeneralAndAdministrativeExpensesMember_9c5c6f51-289e-4f5a-b764-27314aaacc5c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsGainLossLineItems_905caa1c-0628-40d8-98cb-2a16106f65d9" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeInstrumentsGainLossLineItems"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable_f3186c0a-ea0d-49b6-872d-31dc4465d1ba" xlink:to="loc_us-gaap_DerivativeInstrumentsGainLossLineItems_905caa1c-0628-40d8-98cb-2a16106f65d9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossDerivativeExcludedComponentIncreaseDecreaseBeforeAdjustmentsAfterTax_38591e76-7aba-44d1-9e41-3f39c1b39a01" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherComprehensiveIncomeLossDerivativeExcludedComponentIncreaseDecreaseBeforeAdjustmentsAfterTax"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossLineItems_905caa1c-0628-40d8-98cb-2a16106f65d9" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossDerivativeExcludedComponentIncreaseDecreaseBeforeAdjustmentsAfterTax_38591e76-7aba-44d1-9e41-3f39c1b39a01" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashFlowHedgeGainLossToBeReclassifiedWithinTwelveMonths_521251a7-0122-4ae4-86af-71cc23d3c70f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CashFlowHedgeGainLossToBeReclassifiedWithinTwelveMonths"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossLineItems_905caa1c-0628-40d8-98cb-2a16106f65d9" xlink:to="loc_us-gaap_CashFlowHedgeGainLossToBeReclassifiedWithinTwelveMonths_521251a7-0122-4ae4-86af-71cc23d3c70f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossBeforeReclassificationAndTax_540a941b-30d1-4481-814c-167e8205f8ee" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossBeforeReclassificationAndTax"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossLineItems_905caa1c-0628-40d8-98cb-2a16106f65d9" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossBeforeReclassificationAndTax_540a941b-30d1-4481-814c-167e8205f8ee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossReclassificationBeforeTax_52f18496-a6ab-4400-bcd4-55a7b0d50d22" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossReclassificationBeforeTax"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossLineItems_905caa1c-0628-40d8-98cb-2a16106f65d9" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossReclassificationBeforeTax_52f18496-a6ab-4400-bcd4-55a7b0d50d22" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/DerivativesandRiskManagementFairValueofDerivativeInstrumentsDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#DerivativesandRiskManagementFairValueofDerivativeInstrumentsDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/DerivativesandRiskManagementFairValueofDerivativeInstrumentsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract_ab22eb48-2b44-489b-aeea-de076816000c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValuesDerivativesBalanceSheetLocationByDerivativeContractTypeByHedgingDesignationTable_a0dc53b4-9161-4537-b05e-d06de20b4e6c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValuesDerivativesBalanceSheetLocationByDerivativeContractTypeByHedgingDesignationTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract_ab22eb48-2b44-489b-aeea-de076816000c" xlink:to="loc_us-gaap_FairValuesDerivativesBalanceSheetLocationByDerivativeContractTypeByHedgingDesignationTable_a0dc53b4-9161-4537-b05e-d06de20b4e6c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HedgingDesignationAxis_29304317-5e5c-446c-8c52-1cd09aadd4b0" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_HedgingDesignationAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValuesDerivativesBalanceSheetLocationByDerivativeContractTypeByHedgingDesignationTable_a0dc53b4-9161-4537-b05e-d06de20b4e6c" xlink:to="loc_us-gaap_HedgingDesignationAxis_29304317-5e5c-446c-8c52-1cd09aadd4b0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HedgingDesignationDomain_6d569a4d-db86-4884-b12c-67a80b5cf4f3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_HedgingDesignationDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_HedgingDesignationAxis_29304317-5e5c-446c-8c52-1cd09aadd4b0" xlink:to="loc_us-gaap_HedgingDesignationDomain_6d569a4d-db86-4884-b12c-67a80b5cf4f3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DesignatedAsHedgingInstrumentMember_5eef978e-c84e-4964-8615-c1d0265c4d8a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DesignatedAsHedgingInstrumentMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_HedgingDesignationDomain_6d569a4d-db86-4884-b12c-67a80b5cf4f3" xlink:to="loc_us-gaap_DesignatedAsHedgingInstrumentMember_5eef978e-c84e-4964-8615-c1d0265c4d8a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NondesignatedMember_22132b4b-650e-4780-8a78-99fa209e6530" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NondesignatedMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_HedgingDesignationDomain_6d569a4d-db86-4884-b12c-67a80b5cf4f3" xlink:to="loc_us-gaap_NondesignatedMember_22132b4b-650e-4780-8a78-99fa209e6530" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetLocationAxis_e9ae127d-6572-4937-a018-91951b87376d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BalanceSheetLocationAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValuesDerivativesBalanceSheetLocationByDerivativeContractTypeByHedgingDesignationTable_a0dc53b4-9161-4537-b05e-d06de20b4e6c" xlink:to="loc_us-gaap_BalanceSheetLocationAxis_e9ae127d-6572-4937-a018-91951b87376d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetLocationDomain_7346e5c7-b24f-4a96-a350-6b7257cb05c2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BalanceSheetLocationDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationAxis_e9ae127d-6572-4937-a018-91951b87376d" xlink:to="loc_us-gaap_BalanceSheetLocationDomain_7346e5c7-b24f-4a96-a350-6b7257cb05c2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DerivativeAssetsCurrentMember_458b23c6-52c6-496c-a3fe-6c0e675c967a" xlink:href="livn-20220630.xsd#livn_DerivativeAssetsCurrentMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationDomain_7346e5c7-b24f-4a96-a350-6b7257cb05c2" xlink:to="loc_livn_DerivativeAssetsCurrentMember_458b23c6-52c6-496c-a3fe-6c0e675c967a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DerivativeLiabilitiesCurrentMember_1f5f29c5-a521-4068-bb26-b4c1c3a9ee7b" xlink:href="livn-20220630.xsd#livn_DerivativeLiabilitiesCurrentMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationDomain_7346e5c7-b24f-4a96-a350-6b7257cb05c2" xlink:to="loc_livn_DerivativeLiabilitiesCurrentMember_1f5f29c5-a521-4068-bb26-b4c1c3a9ee7b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DerivativeAssetsNoncurrentMember_77914d11-cebd-49f4-abd2-e1881c5d333f" xlink:href="livn-20220630.xsd#livn_DerivativeAssetsNoncurrentMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationDomain_7346e5c7-b24f-4a96-a350-6b7257cb05c2" xlink:to="loc_livn_DerivativeAssetsNoncurrentMember_77914d11-cebd-49f4-abd2-e1881c5d333f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DerivativeLiabilitiesNoncurrentMember_74f6189e-dc5c-4465-a4de-f2fe925d4ff8" xlink:href="livn-20220630.xsd#livn_DerivativeLiabilitiesNoncurrentMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetLocationDomain_7346e5c7-b24f-4a96-a350-6b7257cb05c2" xlink:to="loc_livn_DerivativeLiabilitiesNoncurrentMember_74f6189e-dc5c-4465-a4de-f2fe925d4ff8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentRiskAxis_087a76ed-3faa-4710-bcf5-2795d68e697c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeInstrumentRiskAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValuesDerivativesBalanceSheetLocationByDerivativeContractTypeByHedgingDesignationTable_a0dc53b4-9161-4537-b05e-d06de20b4e6c" xlink:to="loc_us-gaap_DerivativeInstrumentRiskAxis_087a76ed-3faa-4710-bcf5-2795d68e697c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeContractTypeDomain_e65c69dc-6304-492c-bfd2-e78437b07452" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeContractTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis_087a76ed-3faa-4710-bcf5-2795d68e697c" xlink:to="loc_us-gaap_DerivativeContractTypeDomain_e65c69dc-6304-492c-bfd2-e78437b07452" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ForeignExchangeContractMember_960d27a5-d905-4a10-8ca4-1a5003d7e0cf" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ForeignExchangeContractMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_e65c69dc-6304-492c-bfd2-e78437b07452" xlink:to="loc_us-gaap_ForeignExchangeContractMember_960d27a5-d905-4a10-8ca4-1a5003d7e0cf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_CappedCallMember_33b8f0af-41ba-4023-bcf1-f648f7b43320" xlink:href="livn-20220630.xsd#livn_CappedCallMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_e65c69dc-6304-492c-bfd2-e78437b07452" xlink:to="loc_livn_CappedCallMember_33b8f0af-41ba-4023-bcf1-f648f7b43320" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmbeddedDerivativeFinancialInstrumentsMember_e852e9ed-27e1-45d9-b008-1d8d60f06bb7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EmbeddedDerivativeFinancialInstrumentsMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativeContractTypeDomain_e65c69dc-6304-492c-bfd2-e78437b07452" xlink:to="loc_us-gaap_EmbeddedDerivativeFinancialInstrumentsMember_e852e9ed-27e1-45d9-b008-1d8d60f06bb7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativesFairValueLineItems_db93b4c0-a918-404c-8d7f-17962922b899" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativesFairValueLineItems"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValuesDerivativesBalanceSheetLocationByDerivativeContractTypeByHedgingDesignationTable_a0dc53b4-9161-4537-b05e-d06de20b4e6c" xlink:to="loc_us-gaap_DerivativesFairValueLineItems_db93b4c0-a918-404c-8d7f-17962922b899" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeFairValueOfDerivativeAsset_48cb7d03-fb3a-43fe-b584-bb628a5d8912" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeFairValueOfDerivativeAsset"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativesFairValueLineItems_db93b4c0-a918-404c-8d7f-17962922b899" xlink:to="loc_us-gaap_DerivativeFairValueOfDerivativeAsset_48cb7d03-fb3a-43fe-b584-bb628a5d8912" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeFairValueOfDerivativeLiability_45b0053c-bbd5-4835-a545-40c562d1de0c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeFairValueOfDerivativeLiability"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DerivativesFairValueLineItems_db93b4c0-a918-404c-8d7f-17962922b899" xlink:to="loc_us-gaap_DerivativeFairValueOfDerivativeLiability_45b0053c-bbd5-4835-a545-40c562d1de0c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/CommitmentsandContingencies" xlink:type="simple" xlink:href="livn-20220630.xsd#CommitmentsandContingencies"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/CommitmentsandContingencies" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_92764cce-0b10-4380-bb33-232b7a49f8ec" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CommitmentsAndContingenciesDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_a0af2d1a-4eaa-4f65-85dc-53cdc389b70c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CommitmentsAndContingenciesDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_92764cce-0b10-4380-bb33-232b7a49f8ec" xlink:to="loc_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_a0af2d1a-4eaa-4f65-85dc-53cdc389b70c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/CommitmentsandContingenciesTables" xlink:type="simple" xlink:href="livn-20220630.xsd#CommitmentsandContingenciesTables"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/CommitmentsandContingenciesTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_3cea81a3-5469-4dde-9682-45251e3fd15f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CommitmentsAndContingenciesDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfLossContingenciesByContingencyTextBlock_502aa66e-52f9-4d32-a189-8a439d43f0c7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfLossContingenciesByContingencyTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_3cea81a3-5469-4dde-9682-45251e3fd15f" xlink:to="loc_us-gaap_ScheduleOfLossContingenciesByContingencyTextBlock_502aa66e-52f9-4d32-a189-8a439d43f0c7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/CommitmentsandContingenciesNarrativeDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#CommitmentsandContingenciesNarrativeDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/CommitmentsandContingenciesNarrativeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_88fc46a7-d0bb-4b4a-a443-32c94a04f15a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CommitmentsAndContingenciesDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentsTable_e9f33140-db4b-409c-a931-d7e400e9add7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherCommitmentsTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_88fc46a7-d0bb-4b4a-a443-32c94a04f15a" xlink:to="loc_us-gaap_OtherCommitmentsTable_e9f33140-db4b-409c-a931-d7e400e9add7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_LitigationCaseAxis_367087e8-c788-48c4-b444-cddc67f6bfa3" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_LitigationCaseAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsTable_e9f33140-db4b-409c-a931-d7e400e9add7" xlink:to="loc_srt_LitigationCaseAxis_367087e8-c788-48c4-b444-cddc67f6bfa3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_LitigationCaseTypeDomain_26a416e2-6e63-4ad6-a803-3b4728467b74" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_LitigationCaseTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_LitigationCaseAxis_367087e8-c788-48c4-b444-cddc67f6bfa3" xlink:to="loc_srt_LitigationCaseTypeDomain_26a416e2-6e63-4ad6-a803-3b4728467b74" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_FDAWarningLetterMember_77d85c6f-0122-4684-9310-9329eed0b596" xlink:href="livn-20220630.xsd#livn_FDAWarningLetterMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_LitigationCaseTypeDomain_26a416e2-6e63-4ad6-a803-3b4728467b74" xlink:to="loc_livn_FDAWarningLetterMember_77d85c6f-0122-4684-9310-9329eed0b596" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ProductLiabilityMember_36f9ed0c-e70e-4ddf-b97f-3c1cb9cd02ff" xlink:href="livn-20220630.xsd#livn_ProductLiabilityMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_LitigationCaseTypeDomain_26a416e2-6e63-4ad6-a803-3b4728467b74" xlink:to="loc_livn_ProductLiabilityMember_36f9ed0c-e70e-4ddf-b97f-3c1cb9cd02ff" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_SNIAMember_8c32bb3b-7fd3-4107-9bd1-f4a0676376f8" xlink:href="livn-20220630.xsd#livn_SNIAMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_LitigationCaseTypeDomain_26a416e2-6e63-4ad6-a803-3b4728467b74" xlink:to="loc_livn_SNIAMember_8c32bb3b-7fd3-4107-9bd1-f4a0676376f8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_StatementGeographicalAxis_881929e6-9c4d-4ec1-b67e-f7d8f40962d6" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_StatementGeographicalAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsTable_e9f33140-db4b-409c-a931-d7e400e9add7" xlink:to="loc_srt_StatementGeographicalAxis_881929e6-9c4d-4ec1-b67e-f7d8f40962d6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_SegmentGeographicalDomain_1706b2c2-7483-4c06-bfe4-ee04ff23ee9e" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_SegmentGeographicalDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_StatementGeographicalAxis_881929e6-9c4d-4ec1-b67e-f7d8f40962d6" xlink:to="loc_srt_SegmentGeographicalDomain_1706b2c2-7483-4c06-bfe4-ee04ff23ee9e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_SaluggiaItalyMember_4abc6ba3-1107-4af6-b4b1-711bc8907384" xlink:href="livn-20220630.xsd#livn_SaluggiaItalyMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_SegmentGeographicalDomain_1706b2c2-7483-4c06-bfe4-ee04ff23ee9e" xlink:to="loc_livn_SaluggiaItalyMember_4abc6ba3-1107-4af6-b4b1-711bc8907384" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeAxis_08386f55-a868-4cdd-9e57-2245d3ef15fc" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RangeAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsTable_e9f33140-db4b-409c-a931-d7e400e9add7" xlink:to="loc_srt_RangeAxis_08386f55-a868-4cdd-9e57-2245d3ef15fc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember_80987571-8a8b-418d-906e-f3d17924fba4" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RangeMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeAxis_08386f55-a868-4cdd-9e57-2245d3ef15fc" xlink:to="loc_srt_RangeMember_80987571-8a8b-418d-906e-f3d17924fba4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MinimumMember_40ea3733-df70-4e21-855e-2c21129a083d" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_MinimumMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeMember_80987571-8a8b-418d-906e-f3d17924fba4" xlink:to="loc_srt_MinimumMember_40ea3733-df70-4e21-855e-2c21129a083d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MaximumMember_6c3e5bda-6617-466d-ab1e-e1bf6461331c" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_MaximumMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeMember_80987571-8a8b-418d-906e-f3d17924fba4" xlink:to="loc_srt_MaximumMember_6c3e5bda-6617-466d-ab1e-e1bf6461331c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionAxis_7117ccb4-d6ab-45e8-b086-e10a50d6083f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RelatedPartyTransactionAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsTable_e9f33140-db4b-409c-a931-d7e400e9add7" xlink:to="loc_us-gaap_RelatedPartyTransactionAxis_7117ccb4-d6ab-45e8-b086-e10a50d6083f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionDomain_7b9b3dd0-1bfb-48b2-bb1f-b0b0fc2f0030" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RelatedPartyTransactionDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RelatedPartyTransactionAxis_7117ccb4-d6ab-45e8-b086-e10a50d6083f" xlink:to="loc_us-gaap_RelatedPartyTransactionDomain_7b9b3dd0-1bfb-48b2-bb1f-b0b0fc2f0030" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_FirstPaymentMember_c08169ce-abad-4413-8c4b-1f91047ebb21" xlink:href="livn-20220630.xsd#livn_FirstPaymentMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RelatedPartyTransactionDomain_7b9b3dd0-1bfb-48b2-bb1f-b0b0fc2f0030" xlink:to="loc_livn_FirstPaymentMember_c08169ce-abad-4413-8c4b-1f91047ebb21" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_SecondPaymentMember_84a4ae6c-50ee-430f-b9a7-f1286475d307" xlink:href="livn-20220630.xsd#livn_SecondPaymentMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_RelatedPartyTransactionDomain_7b9b3dd0-1bfb-48b2-bb1f-b0b0fc2f0030" xlink:to="loc_livn_SecondPaymentMember_84a4ae6c-50ee-430f-b9a7-f1286475d307" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LitigationStatusAxis_b53c86d2-6114-4f0b-95ad-e3fc2926d211" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LitigationStatusAxis"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsTable_e9f33140-db4b-409c-a931-d7e400e9add7" xlink:to="loc_us-gaap_LitigationStatusAxis_b53c86d2-6114-4f0b-95ad-e3fc2926d211" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LitigationStatusDomain_9ddfa680-44eb-49de-b58e-611a536212b5" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LitigationStatusDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LitigationStatusAxis_b53c86d2-6114-4f0b-95ad-e3fc2926d211" xlink:to="loc_us-gaap_LitigationStatusDomain_9ddfa680-44eb-49de-b58e-611a536212b5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PendingLitigationMember_d06c5f60-ed85-4a4e-80eb-16d641a3db0d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PendingLitigationMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LitigationStatusDomain_9ddfa680-44eb-49de-b58e-611a536212b5" xlink:to="loc_us-gaap_PendingLitigationMember_d06c5f60-ed85-4a4e-80eb-16d641a3db0d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_JudicialRulingMember_38ab3dcb-6e32-4034-a1c7-d7b209851537" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_JudicialRulingMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LitigationStatusDomain_9ddfa680-44eb-49de-b58e-611a536212b5" xlink:to="loc_us-gaap_JudicialRulingMember_38ab3dcb-6e32-4034-a1c7-d7b209851537" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LegalEntityAxis_a7c78244-2b81-4166-9999-b1a51240bdb4" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_LegalEntityAxis"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsTable_e9f33140-db4b-409c-a931-d7e400e9add7" xlink:to="loc_dei_LegalEntityAxis_a7c78244-2b81-4166-9999-b1a51240bdb4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityDomain_de8079ad-9ac4-43f0-a92b-f16e58973976" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_LegalEntityAxis_a7c78244-2b81-4166-9999-b1a51240bdb4" xlink:to="loc_dei_EntityDomain_de8079ad-9ac4-43f0-a92b-f16e58973976" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_SNIAs.p.aMember_2f1b0555-25f7-44f0-a61f-0467842a913f" xlink:href="livn-20220630.xsd#livn_SNIAs.p.aMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_EntityDomain_de8079ad-9ac4-43f0-a92b-f16e58973976" xlink:to="loc_livn_SNIAs.p.aMember_2f1b0555-25f7-44f0-a61f-0467842a913f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingenciesByNatureOfContingencyAxis_431254c6-777d-4a97-ac1f-22c374fdbeeb" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingenciesByNatureOfContingencyAxis"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsTable_e9f33140-db4b-409c-a931-d7e400e9add7" xlink:to="loc_us-gaap_LossContingenciesByNatureOfContingencyAxis_431254c6-777d-4a97-ac1f-22c374fdbeeb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingencyNatureDomain_86cdca7f-e5db-4537-bdc6-8d22722e79c8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingencyNatureDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LossContingenciesByNatureOfContingencyAxis_431254c6-777d-4a97-ac1f-22c374fdbeeb" xlink:to="loc_us-gaap_LossContingencyNatureDomain_86cdca7f-e5db-4537-bdc6-8d22722e79c8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SuretyBondMember_e0ea2e48-3e44-4c24-9931-0cace36c7c87" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SuretyBondMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LossContingencyNatureDomain_86cdca7f-e5db-4537-bdc6-8d22722e79c8" xlink:to="loc_us-gaap_SuretyBondMember_e0ea2e48-3e44-4c24-9931-0cace36c7c87" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeAxis_fbd1964d-21e6-4daf-80ed-b5988ada5109" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SubsequentEventTypeAxis"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsTable_e9f33140-db4b-409c-a931-d7e400e9add7" xlink:to="loc_us-gaap_SubsequentEventTypeAxis_fbd1964d-21e6-4daf-80ed-b5988ada5109" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeDomain_2095e4e7-8f54-4d13-8e4d-62ca509ddf6d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SubsequentEventTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTypeAxis_fbd1964d-21e6-4daf-80ed-b5988ada5109" xlink:to="loc_us-gaap_SubsequentEventTypeDomain_2095e4e7-8f54-4d13-8e4d-62ca509ddf6d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventMember_51c3d695-0280-4287-aa1c-4157f42dfa87" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SubsequentEventMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTypeDomain_2095e4e7-8f54-4d13-8e4d-62ca509ddf6d" xlink:to="loc_us-gaap_SubsequentEventMember_51c3d695-0280-4287-aa1c-4157f42dfa87" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherCommitmentsLineItems_cf050345-5c35-46bb-af3f-b7782bfa8308" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherCommitmentsLineItems"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsTable_e9f33140-db4b-409c-a931-d7e400e9add7" xlink:to="loc_us-gaap_OtherCommitmentsLineItems_cf050345-5c35-46bb-af3f-b7782bfa8308" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_LossContingencyNumberOfObservedNonConformities_8675e137-79f7-4a47-8da9-63e9fd595cb0" xlink:href="livn-20220630.xsd#livn_LossContingencyNumberOfObservedNonConformities"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_cf050345-5c35-46bb-af3f-b7782bfa8308" xlink:to="loc_livn_LossContingencyNumberOfObservedNonConformities_8675e137-79f7-4a47-8da9-63e9fd595cb0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ProductRemediationLiabilityNet_0892c817-3ead-49a7-9b85-ca75b2a3eff3" xlink:href="livn-20220630.xsd#livn_ProductRemediationLiabilityNet"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_cf050345-5c35-46bb-af3f-b7782bfa8308" xlink:to="loc_livn_ProductRemediationLiabilityNet_0892c817-3ead-49a7-9b85-ca75b2a3eff3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_NumberOfNationalRepositorySites_2b30f7f4-bd7e-4465-87cf-278d483bbd3c" xlink:href="livn-20220630.xsd#livn_NumberOfNationalRepositorySites"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_cf050345-5c35-46bb-af3f-b7782bfa8308" xlink:to="loc_livn_NumberOfNationalRepositorySites_2b30f7f4-bd7e-4465-87cf-278d483bbd3c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_LossContingencyAccrualEstimatedProvision_79c32313-c91e-43de-95ce-6c4693c65410" xlink:href="livn-20220630.xsd#livn_LossContingencyAccrualEstimatedProvision"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_cf050345-5c35-46bb-af3f-b7782bfa8308" xlink:to="loc_livn_LossContingencyAccrualEstimatedProvision_79c32313-c91e-43de-95ce-6c4693c65410" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingencyAccrualProvision_15ff6a71-b7d4-43da-9756-815b2ce27515" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingencyAccrualProvision"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_cf050345-5c35-46bb-af3f-b7782bfa8308" xlink:to="loc_us-gaap_LossContingencyAccrualProvision_15ff6a71-b7d4-43da-9756-815b2ce27515" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LitigationSettlementAmountAwardedToOtherParty_e91ccdfa-da79-4a34-9b01-3c59dbcc0ec2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LitigationSettlementAmountAwardedToOtherParty"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_cf050345-5c35-46bb-af3f-b7782bfa8308" xlink:to="loc_us-gaap_LitigationSettlementAmountAwardedToOtherParty_e91ccdfa-da79-4a34-9b01-3c59dbcc0ec2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForLegalSettlements_3510e8f9-441f-4dec-9878-1dd0c538eb05" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PaymentsForLegalSettlements"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_cf050345-5c35-46bb-af3f-b7782bfa8308" xlink:to="loc_us-gaap_PaymentsForLegalSettlements_3510e8f9-441f-4dec-9878-1dd0c538eb05" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingencyPendingClaimsNumber_250b64eb-9d85-4554-a6e3-2b309142e85d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingencyPendingClaimsNumber"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_cf050345-5c35-46bb-af3f-b7782bfa8308" xlink:to="loc_us-gaap_LossContingencyPendingClaimsNumber_250b64eb-9d85-4554-a6e3-2b309142e85d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingencyClaimsSettledNumber_29cc5daa-209a-4630-9ea3-9a364ecffcda" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingencyClaimsSettledNumber"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_cf050345-5c35-46bb-af3f-b7782bfa8308" xlink:to="loc_us-gaap_LossContingencyClaimsSettledNumber_29cc5daa-209a-4630-9ea3-9a364ecffcda" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingencyAccrualAtCarryingValue_748329be-d084-46b5-aac4-b423cfec58ba" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingencyAccrualAtCarryingValue"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_cf050345-5c35-46bb-af3f-b7782bfa8308" xlink:to="loc_us-gaap_LossContingencyAccrualAtCarryingValue_748329be-d084-46b5-aac4-b423cfec58ba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingencyDamagesSoughtValue_89377c24-b7a1-4791-a558-4a61d1019d9f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingencyDamagesSoughtValue"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_cf050345-5c35-46bb-af3f-b7782bfa8308" xlink:to="loc_us-gaap_LossContingencyDamagesSoughtValue_89377c24-b7a1-4791-a558-4a61d1019d9f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_BankruptcyClaimsNonPrivilegedCreditorAmount_03eb5b65-093c-4181-ad58-7e9d5176ec6c" xlink:href="livn-20220630.xsd#livn_BankruptcyClaimsNonPrivilegedCreditorAmount"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_cf050345-5c35-46bb-af3f-b7782bfa8308" xlink:to="loc_livn_BankruptcyClaimsNonPrivilegedCreditorAmount_03eb5b65-093c-4181-ad58-7e9d5176ec6c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ReimbursedLegalFees_a49efc2b-8c05-4180-b4b8-287ae0c9b9d2" xlink:href="livn-20220630.xsd#livn_ReimbursedLegalFees"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_cf050345-5c35-46bb-af3f-b7782bfa8308" xlink:to="loc_livn_ReimbursedLegalFees_a49efc2b-8c05-4180-b4b8-287ae0c9b9d2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingencyEstimateOfPossibleLoss_9389ad66-41a3-4a2b-a4ec-8f8b940acc50" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingencyEstimateOfPossibleLoss"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_cf050345-5c35-46bb-af3f-b7782bfa8308" xlink:to="loc_us-gaap_LossContingencyEstimateOfPossibleLoss_9389ad66-41a3-4a2b-a4ec-8f8b940acc50" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingencyAccrualPayments_aaf72990-d13b-4dce-9efa-80e214ce2d22" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingencyAccrualPayments"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_cf050345-5c35-46bb-af3f-b7782bfa8308" xlink:to="loc_us-gaap_LossContingencyAccrualPayments_aaf72990-d13b-4dce-9efa-80e214ce2d22" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_UtilitiesOperatingExpenseEnvironmentalMaintenance_eee52c45-e2e3-48dc-b68d-27d6cd935657" xlink:href="livn-20220630.xsd#livn_UtilitiesOperatingExpenseEnvironmentalMaintenance"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_OtherCommitmentsLineItems_cf050345-5c35-46bb-af3f-b7782bfa8308" xlink:to="loc_livn_UtilitiesOperatingExpenseEnvironmentalMaintenance_eee52c45-e2e3-48dc-b68d-27d6cd935657" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/CommitmentsandContingenciesScheduleofProductLiabilityDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#CommitmentsandContingenciesScheduleofProductLiabilityDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/CommitmentsandContingenciesScheduleofProductLiabilityDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_e725f154-5b03-44b5-a048-1e1a816140d6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CommitmentsAndContingenciesDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingenciesTable_6e021bf2-0664-4ddc-a55e-5e00fe86ba5a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingenciesTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_e725f154-5b03-44b5-a048-1e1a816140d6" xlink:to="loc_us-gaap_LossContingenciesTable_6e021bf2-0664-4ddc-a55e-5e00fe86ba5a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_LitigationCaseAxis_67f51f9b-90f1-498e-ad5f-b37c5f44b164" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_LitigationCaseAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LossContingenciesTable_6e021bf2-0664-4ddc-a55e-5e00fe86ba5a" xlink:to="loc_srt_LitigationCaseAxis_67f51f9b-90f1-498e-ad5f-b37c5f44b164" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_LitigationCaseTypeDomain_b818e351-79f5-47d4-b333-50b6e22b4d34" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_LitigationCaseTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_LitigationCaseAxis_67f51f9b-90f1-498e-ad5f-b37c5f44b164" xlink:to="loc_srt_LitigationCaseTypeDomain_b818e351-79f5-47d4-b333-50b6e22b4d34" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ProductLiabilityMember_c1406f6b-384b-418d-bdb7-487f48b6a7a3" xlink:href="livn-20220630.xsd#livn_ProductLiabilityMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_LitigationCaseTypeDomain_b818e351-79f5-47d4-b333-50b6e22b4d34" xlink:to="loc_livn_ProductLiabilityMember_c1406f6b-384b-418d-bdb7-487f48b6a7a3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingenciesLineItems_4584ebb8-4f90-4fbb-9ff7-7b44491ee200" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingenciesLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LossContingenciesTable_6e021bf2-0664-4ddc-a55e-5e00fe86ba5a" xlink:to="loc_us-gaap_LossContingenciesLineItems_4584ebb8-4f90-4fbb-9ff7-7b44491ee200" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingencyAccrualRollForward_859a0137-e9ab-475b-af19-7680a9e8b6ab" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingencyAccrualRollForward"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LossContingenciesLineItems_4584ebb8-4f90-4fbb-9ff7-7b44491ee200" xlink:to="loc_us-gaap_LossContingencyAccrualRollForward_859a0137-e9ab-475b-af19-7680a9e8b6ab" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingencyAccrualAtCarryingValue_0a43cfed-3da1-49d5-8ad6-aca940d9fd4d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingencyAccrualAtCarryingValue"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LossContingencyAccrualRollForward_859a0137-e9ab-475b-af19-7680a9e8b6ab" xlink:to="loc_us-gaap_LossContingencyAccrualAtCarryingValue_0a43cfed-3da1-49d5-8ad6-aca940d9fd4d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingencyAccrualPayments_384e5063-6c6f-45d4-8f95-207ec730a481" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingencyAccrualPayments"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LossContingencyAccrualRollForward_859a0137-e9ab-475b-af19-7680a9e8b6ab" xlink:to="loc_us-gaap_LossContingencyAccrualPayments_384e5063-6c6f-45d4-8f95-207ec730a481" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_LossContingencyAccrualAdjustments_2fc62e80-b8c8-43a7-8eb6-10999c1f597b" xlink:href="livn-20220630.xsd#livn_LossContingencyAccrualAdjustments"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LossContingencyAccrualRollForward_859a0137-e9ab-475b-af19-7680a9e8b6ab" xlink:to="loc_livn_LossContingencyAccrualAdjustments_2fc62e80-b8c8-43a7-8eb6-10999c1f597b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_LossContingencyAccrualForeignCurrencyAdjustmentsAndOther_7a00c237-ef07-4989-bf2a-f02753cd62d9" xlink:href="livn-20220630.xsd#livn_LossContingencyAccrualForeignCurrencyAdjustmentsAndOther"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LossContingencyAccrualRollForward_859a0137-e9ab-475b-af19-7680a9e8b6ab" xlink:to="loc_livn_LossContingencyAccrualForeignCurrencyAdjustmentsAndOther_7a00c237-ef07-4989-bf2a-f02753cd62d9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingencyAccrualAtCarryingValue_538d09db-8fd0-424c-a28b-831d960f5f4e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingencyAccrualAtCarryingValue"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LossContingencyAccrualRollForward_859a0137-e9ab-475b-af19-7680a9e8b6ab" xlink:to="loc_us-gaap_LossContingencyAccrualAtCarryingValue_538d09db-8fd0-424c-a28b-831d960f5f4e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingencyAccrualCarryingValueCurrent_f6bd18e1-88bb-4866-b5d2-39b71f458ad6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingencyAccrualCarryingValueCurrent"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LossContingencyAccrualRollForward_859a0137-e9ab-475b-af19-7680a9e8b6ab" xlink:to="loc_us-gaap_LossContingencyAccrualCarryingValueCurrent_f6bd18e1-88bb-4866-b5d2-39b71f458ad6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LossContingencyAccrualCarryingValueNoncurrent_e928fa4f-062b-40c2-9334-07567eafe73b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LossContingencyAccrualCarryingValueNoncurrent"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LossContingencyAccrualRollForward_859a0137-e9ab-475b-af19-7680a9e8b6ab" xlink:to="loc_us-gaap_LossContingencyAccrualCarryingValueNoncurrent_e928fa4f-062b-40c2-9334-07567eafe73b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/StockholdersEquity" xlink:type="simple" xlink:href="livn-20220630.xsd#StockholdersEquity"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/StockholdersEquity" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityNoteAbstract_36eba594-89d2-4cfa-a173-393bfa3916a9" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StockholdersEquityNoteAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityNoteDisclosureTextBlock_4f9253b7-2cbf-4115-9f47-f824f6472fab" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StockholdersEquityNoteDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StockholdersEquityNoteAbstract_36eba594-89d2-4cfa-a173-393bfa3916a9" xlink:to="loc_us-gaap_StockholdersEquityNoteDisclosureTextBlock_4f9253b7-2cbf-4115-9f47-f824f6472fab" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/StockholdersEquityTables" xlink:type="simple" xlink:href="livn-20220630.xsd#StockholdersEquityTables"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/StockholdersEquityTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityNoteAbstract_0a0d813f-d15a-4b1c-9b7f-714608a980d9" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StockholdersEquityNoteAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfStockholdersEquityTableTextBlock_57b902ce-9a8f-42dd-b0e5-a31c23dd053b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfStockholdersEquityTableTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StockholdersEquityNoteAbstract_0a0d813f-d15a-4b1c-9b7f-714608a980d9" xlink:to="loc_us-gaap_ScheduleOfStockholdersEquityTableTextBlock_57b902ce-9a8f-42dd-b0e5-a31c23dd053b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfAccumulatedOtherComprehensiveIncomeLossTableTextBlock_89624949-ce5d-445c-a5e8-52ef270ba57f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfAccumulatedOtherComprehensiveIncomeLossTableTextBlock"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StockholdersEquityNoteAbstract_0a0d813f-d15a-4b1c-9b7f-714608a980d9" xlink:to="loc_us-gaap_ScheduleOfAccumulatedOtherComprehensiveIncomeLossTableTextBlock_89624949-ce5d-445c-a5e8-52ef270ba57f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/StockholdersEquityStatementofStockholdersEquityDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#StockholdersEquityStatementofStockholdersEquityDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/StockholdersEquityStatementofStockholdersEquityDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityNoteAbstract_ef76060b-abad-410f-b54e-eb0434afacd8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StockholdersEquityNoteAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfStockByClassTable_89185134-24bb-4d60-9d8d-290bd6e550b2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfStockByClassTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StockholdersEquityNoteAbstract_ef76060b-abad-410f-b54e-eb0434afacd8" xlink:to="loc_us-gaap_ScheduleOfStockByClassTable_89185134-24bb-4d60-9d8d-290bd6e550b2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementEquityComponentsAxis_ecfc1576-1d76-4c1e-85ae-792d53acb2a9" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StatementEquityComponentsAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfStockByClassTable_89185134-24bb-4d60-9d8d-290bd6e550b2" xlink:to="loc_us-gaap_StatementEquityComponentsAxis_ecfc1576-1d76-4c1e-85ae-792d53acb2a9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityComponentDomain_048cb1d4-59ba-4b27-b63f-626dbd0b7ed7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EquityComponentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementEquityComponentsAxis_ecfc1576-1d76-4c1e-85ae-792d53acb2a9" xlink:to="loc_us-gaap_EquityComponentDomain_048cb1d4-59ba-4b27-b63f-626dbd0b7ed7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockMember_512ec7b6-b085-42a2-a337-91d9461e7e64" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CommonStockMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityComponentDomain_048cb1d4-59ba-4b27-b63f-626dbd0b7ed7" xlink:to="loc_us-gaap_CommonStockMember_512ec7b6-b085-42a2-a337-91d9461e7e64" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapitalMember_f173873a-9bba-4769-a8f4-ffc2ff5c01ec" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AdditionalPaidInCapitalMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityComponentDomain_048cb1d4-59ba-4b27-b63f-626dbd0b7ed7" xlink:to="loc_us-gaap_AdditionalPaidInCapitalMember_f173873a-9bba-4769-a8f4-ffc2ff5c01ec" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TreasuryStockMember_2fbd2ae4-329c-4bb0-bb80-6240e667fd18" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_TreasuryStockMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityComponentDomain_048cb1d4-59ba-4b27-b63f-626dbd0b7ed7" xlink:to="loc_us-gaap_TreasuryStockMember_2fbd2ae4-329c-4bb0-bb80-6240e667fd18" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeMember_4eacb36e-e3fa-4a74-9f5e-a8863be166f9" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityComponentDomain_048cb1d4-59ba-4b27-b63f-626dbd0b7ed7" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeMember_4eacb36e-e3fa-4a74-9f5e-a8863be166f9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsMember_12ccb222-8f7b-4955-a25b-06f1c820241f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RetainedEarningsMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityComponentDomain_048cb1d4-59ba-4b27-b63f-626dbd0b7ed7" xlink:to="loc_us-gaap_RetainedEarningsMember_12ccb222-8f7b-4955-a25b-06f1c820241f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockLineItems_287dacae-de81-4ca1-90e3-095076b873ec" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ClassOfStockLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfStockByClassTable_89185134-24bb-4d60-9d8d-290bd6e550b2" xlink:to="loc_us-gaap_ClassOfStockLineItems_287dacae-de81-4ca1-90e3-095076b873ec" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_7c7775c6-20bf-440e-a4bd-2a3503153bd5" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncreaseDecreaseInStockholdersEquityRollForward"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockLineItems_287dacae-de81-4ca1-90e3-095076b873ec" xlink:to="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_7c7775c6-20bf-440e-a4bd-2a3503153bd5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesIssued_c617453c-951e-4ef0-85f2-04b5b3f0009e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CommonStockSharesIssued"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_7c7775c6-20bf-440e-a4bd-2a3503153bd5" xlink:to="loc_us-gaap_CommonStockSharesIssued_c617453c-951e-4ef0-85f2-04b5b3f0009e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_a9ec51d1-86b7-4f63-84dd-c32b52741581" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StockholdersEquity"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_7c7775c6-20bf-440e-a4bd-2a3503153bd5" xlink:to="loc_us-gaap_StockholdersEquity_a9ec51d1-86b7-4f63-84dd-c32b52741581" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation_81d1c38f-98a4-4bd2-a6eb-912be3f7ddef" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_7c7775c6-20bf-440e-a4bd-2a3503153bd5" xlink:to="loc_us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation_81d1c38f-98a4-4bd2-a6eb-912be3f7ddef" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation_8c6e6b2a-02b9-4580-b560-4ebd85e61708" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_7c7775c6-20bf-440e-a4bd-2a3503153bd5" xlink:to="loc_us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation_8c6e6b2a-02b9-4580-b560-4ebd85e61708" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_537e4935-0736-4d5b-9a97-c67cea4a9ad1" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NetIncomeLoss"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_7c7775c6-20bf-440e-a4bd-2a3503153bd5" xlink:to="loc_us-gaap_NetIncomeLoss_537e4935-0736-4d5b-9a97-c67cea4a9ad1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_e2b49895-5088-4b13-8056-18259d57cdf0" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_7c7775c6-20bf-440e-a4bd-2a3503153bd5" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_e2b49895-5088-4b13-8056-18259d57cdf0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesIssued_0ff7d0bb-1e95-4e88-9da2-526d78fedaff" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CommonStockSharesIssued"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_7c7775c6-20bf-440e-a4bd-2a3503153bd5" xlink:to="loc_us-gaap_CommonStockSharesIssued_0ff7d0bb-1e95-4e88-9da2-526d78fedaff" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_c6801f2b-02c6-4093-bd33-fcd09e6aaa68" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StockholdersEquity"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncreaseDecreaseInStockholdersEquityRollForward_7c7775c6-20bf-440e-a4bd-2a3503153bd5" xlink:to="loc_us-gaap_StockholdersEquity_c6801f2b-02c6-4093-bd33-fcd09e6aaa68" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/StockholdersEquityComprehensiveIncomeDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#StockholdersEquityComprehensiveIncomeDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/StockholdersEquityComprehensiveIncomeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityNoteAbstract_eb89e8d0-7089-4d41-a2bd-a34ca9714a5d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StockholdersEquityNoteAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossTable_8c499254-25ef-4def-ab3e-4c6792d4c2d6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StockholdersEquityNoteAbstract_eb89e8d0-7089-4d41-a2bd-a34ca9714a5d" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossTable_8c499254-25ef-4def-ab3e-4c6792d4c2d6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementEquityComponentsAxis_7bdcbf63-f32a-4f05-8736-af45a124173a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StatementEquityComponentsAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossTable_8c499254-25ef-4def-ab3e-4c6792d4c2d6" xlink:to="loc_us-gaap_StatementEquityComponentsAxis_7bdcbf63-f32a-4f05-8736-af45a124173a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityComponentDomain_ec137829-9c36-4fc1-9b24-1a61e8407555" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EquityComponentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementEquityComponentsAxis_7bdcbf63-f32a-4f05-8736-af45a124173a" xlink:to="loc_us-gaap_EquityComponentDomain_ec137829-9c36-4fc1-9b24-1a61e8407555" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeMember_5ed01f6a-0df8-4bc7-a063-620a4dc0549d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EquityComponentDomain_ec137829-9c36-4fc1-9b24-1a61e8407555" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeMember_5ed01f6a-0df8-4bc7-a063-620a4dc0549d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedGainLossNetCashFlowHedgeParentMember_d823b35b-d6ff-4394-a40b-177b92d802c3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccumulatedGainLossNetCashFlowHedgeParentMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccumulatedOtherComprehensiveIncomeMember_5ed01f6a-0df8-4bc7-a063-620a4dc0549d" xlink:to="loc_us-gaap_AccumulatedGainLossNetCashFlowHedgeParentMember_d823b35b-d6ff-4394-a40b-177b92d802c3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedTranslationAdjustmentMember_2dcf70e4-c951-43a3-9314-cd109d7d3859" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccumulatedTranslationAdjustmentMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccumulatedOtherComprehensiveIncomeMember_5ed01f6a-0df8-4bc7-a063-620a4dc0549d" xlink:to="loc_us-gaap_AccumulatedTranslationAdjustmentMember_2dcf70e4-c951-43a3-9314-cd109d7d3859" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems_35502582-9458-4f3b-b862-8535943d1db7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossTable_8c499254-25ef-4def-ab3e-4c6792d4c2d6" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems_35502582-9458-4f3b-b862-8535943d1db7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AOCIAttributableToParentNetOfTaxRollForward_adfd8e64-b899-4f75-8d8e-f1685f468502" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AOCIAttributableToParentNetOfTaxRollForward"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems_35502582-9458-4f3b-b862-8535943d1db7" xlink:to="loc_us-gaap_AOCIAttributableToParentNetOfTaxRollForward_adfd8e64-b899-4f75-8d8e-f1685f468502" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_5efad9a6-9105-4e92-9cb5-1cd214ce9991" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StockholdersEquity"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AOCIAttributableToParentNetOfTaxRollForward_adfd8e64-b899-4f75-8d8e-f1685f468502" xlink:to="loc_us-gaap_StockholdersEquity_5efad9a6-9105-4e92-9cb5-1cd214ce9991" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OciBeforeReclassificationsBeforeTaxAttributableToParent_07158ee8-96e3-4f19-9a51-6906f2910a79" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OciBeforeReclassificationsBeforeTaxAttributableToParent"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AOCIAttributableToParentNetOfTaxRollForward_adfd8e64-b899-4f75-8d8e-f1685f468502" xlink:to="loc_us-gaap_OciBeforeReclassificationsBeforeTaxAttributableToParent_07158ee8-96e3-4f19-9a51-6906f2910a79" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsTax_2a7e17fa-ef48-422b-86fb-f17f4bbac229" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsTax"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AOCIAttributableToParentNetOfTaxRollForward_adfd8e64-b899-4f75-8d8e-f1685f468502" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsTax_2a7e17fa-ef48-422b-86fb-f17f4bbac229" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTerseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OciBeforeReclassificationsNetOfTaxAttributableToParent_5af92352-6a90-4f56-addc-08ba7300fb5e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OciBeforeReclassificationsNetOfTaxAttributableToParent"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AOCIAttributableToParentNetOfTaxRollForward_adfd8e64-b899-4f75-8d8e-f1685f468502" xlink:to="loc_us-gaap_OciBeforeReclassificationsNetOfTaxAttributableToParent_5af92352-6a90-4f56-addc-08ba7300fb5e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReclassificationFromAociCurrentPeriodBeforeTaxAttributableToParent_274276d3-9416-422a-8ed9-3f9b015d1bd7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ReclassificationFromAociCurrentPeriodBeforeTaxAttributableToParent"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AOCIAttributableToParentNetOfTaxRollForward_adfd8e64-b899-4f75-8d8e-f1685f468502" xlink:to="loc_us-gaap_ReclassificationFromAociCurrentPeriodBeforeTaxAttributableToParent_274276d3-9416-422a-8ed9-3f9b015d1bd7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReclassificationFromAociCurrentPeriodTax_391746f9-5473-4fb0-809a-05dcc3110766" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ReclassificationFromAociCurrentPeriodTax"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AOCIAttributableToParentNetOfTaxRollForward_adfd8e64-b899-4f75-8d8e-f1685f468502" xlink:to="loc_us-gaap_ReclassificationFromAociCurrentPeriodTax_391746f9-5473-4fb0-809a-05dcc3110766" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReclassificationFromAociCurrentPeriodNetOfTaxAttributableToParent_cc6ce70c-5b9f-4c28-ba9c-3066155a5411" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ReclassificationFromAociCurrentPeriodNetOfTaxAttributableToParent"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AOCIAttributableToParentNetOfTaxRollForward_adfd8e64-b899-4f75-8d8e-f1685f468502" xlink:to="loc_us-gaap_ReclassificationFromAociCurrentPeriodNetOfTaxAttributableToParent_cc6ce70c-5b9f-4c28-ba9c-3066155a5411" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedTotalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_86f5de57-daa0-4175-b5f7-7bc93bb8ff49" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AOCIAttributableToParentNetOfTaxRollForward_adfd8e64-b899-4f75-8d8e-f1685f468502" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_86f5de57-daa0-4175-b5f7-7bc93bb8ff49" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_7ce5b482-d51a-4dea-81b6-7421ad5fc92e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StockholdersEquity"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AOCIAttributableToParentNetOfTaxRollForward_adfd8e64-b899-4f75-8d8e-f1685f468502" xlink:to="loc_us-gaap_StockholdersEquity_7ce5b482-d51a-4dea-81b6-7421ad5fc92e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/StockBasedIncentivePlans" xlink:type="simple" xlink:href="livn-20220630.xsd#StockBasedIncentivePlans"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/StockBasedIncentivePlans" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract_86bc06d3-b75d-4cad-85dc-30676818b775" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock_8a6613aa-b5fe-4286-9478-8e34fccff74a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract_86bc06d3-b75d-4cad-85dc-30676818b775" xlink:to="loc_us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock_8a6613aa-b5fe-4286-9478-8e34fccff74a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/StockBasedIncentivePlansTables" xlink:type="simple" xlink:href="livn-20220630.xsd#StockBasedIncentivePlansTables"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/StockBasedIncentivePlansTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract_bfa1006c-1154-4905-9f57-1af6f4442998" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock_7b650a74-3526-4f83-8c0c-9fc1ed408e3a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract_bfa1006c-1154-4905-9f57-1af6f4442998" xlink:to="loc_us-gaap_ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock_7b650a74-3526-4f83-8c0c-9fc1ed408e3a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/StockBasedIncentivePlansCompensationExpenseDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#StockBasedIncentivePlansCompensationExpenseDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/StockBasedIncentivePlansCompensationExpenseDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract_38381cc2-9ec0-47a2-8872-18d99501f309" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_0ccc4b41-6afd-42a0-b4c8-28e06c321498" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract_38381cc2-9ec0-47a2-8872-18d99501f309" xlink:to="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_0ccc4b41-6afd-42a0-b4c8-28e06c321498" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AwardTypeAxis_4df7bc54-a493-4bd8-a0a0-a8d5d35ddd54" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AwardTypeAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_0ccc4b41-6afd-42a0-b4c8-28e06c321498" xlink:to="loc_us-gaap_AwardTypeAxis_4df7bc54-a493-4bd8-a0a0-a8d5d35ddd54" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_8b6ae0e5-73c2-4566-bd65-da73ba01f52c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AwardTypeAxis_4df7bc54-a493-4bd8-a0a0-a8d5d35ddd54" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_8b6ae0e5-73c2-4566-bd65-da73ba01f52c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ServiceBasedRestrictedStockUnitsMember_751829d9-441d-46a7-98f5-5276e23b1a70" xlink:href="livn-20220630.xsd#livn_ServiceBasedRestrictedStockUnitsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_8b6ae0e5-73c2-4566-bd65-da73ba01f52c" xlink:to="loc_livn_ServiceBasedRestrictedStockUnitsMember_751829d9-441d-46a7-98f5-5276e23b1a70" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ServiceBasedStockAppreciationRightsMember_99a36e32-e171-4393-9dff-4cec7bc394bd" xlink:href="livn-20220630.xsd#livn_ServiceBasedStockAppreciationRightsMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_8b6ae0e5-73c2-4566-bd65-da73ba01f52c" xlink:to="loc_livn_ServiceBasedStockAppreciationRightsMember_99a36e32-e171-4393-9dff-4cec7bc394bd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_MarketbasedPerformanceRestrictedStockUnitsMember_97f1e6e7-b40a-4e54-b0ca-0c5b2bd94c52" xlink:href="livn-20220630.xsd#livn_MarketbasedPerformanceRestrictedStockUnitsMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_8b6ae0e5-73c2-4566-bd65-da73ba01f52c" xlink:to="loc_livn_MarketbasedPerformanceRestrictedStockUnitsMember_97f1e6e7-b40a-4e54-b0ca-0c5b2bd94c52" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_PerformanceBasedRestrictedShareAndRestrictedShareUnitMember_d471240b-9e02-45e9-bc40-e4bafeb7aace" xlink:href="livn-20220630.xsd#livn_PerformanceBasedRestrictedShareAndRestrictedShareUnitMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_8b6ae0e5-73c2-4566-bd65-da73ba01f52c" xlink:to="loc_livn_PerformanceBasedRestrictedShareAndRestrictedShareUnitMember_d471240b-9e02-45e9-bc40-e4bafeb7aace" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmployeeStockMember_bfa929a0-50f7-47df-89d9-224f9c0f25c6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EmployeeStockMember"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_8b6ae0e5-73c2-4566-bd65-da73ba01f52c" xlink:to="loc_us-gaap_EmployeeStockMember_bfa929a0-50f7-47df-89d9-224f9c0f25c6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmployeeStockOptionMember_f6f8ac3c-c61e-4182-b96b-8061c4375331" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EmployeeStockOptionMember"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_8b6ae0e5-73c2-4566-bd65-da73ba01f52c" xlink:to="loc_us-gaap_EmployeeStockOptionMember_f6f8ac3c-c61e-4182-b96b-8061c4375331" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_OtherThanOptionAwardsMember_204ba480-a37b-493f-be15-4899642554b5" xlink:href="livn-20220630.xsd#livn_OtherThanOptionAwardsMember"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_8b6ae0e5-73c2-4566-bd65-da73ba01f52c" xlink:to="loc_livn_OtherThanOptionAwardsMember_204ba480-a37b-493f-be15-4899642554b5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOperatingActivitiesSegmentAxis_009e4c99-4920-4fb9-a31a-dc5948ef544f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StatementOperatingActivitiesSegmentAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_0ccc4b41-6afd-42a0-b4c8-28e06c321498" xlink:to="loc_us-gaap_StatementOperatingActivitiesSegmentAxis_009e4c99-4920-4fb9-a31a-dc5948ef544f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentOperatingActivitiesDomain_609783d0-23b0-4095-af5d-efd8677bd494" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SegmentOperatingActivitiesDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOperatingActivitiesSegmentAxis_009e4c99-4920-4fb9-a31a-dc5948ef544f" xlink:to="loc_us-gaap_SegmentOperatingActivitiesDomain_609783d0-23b0-4095-af5d-efd8677bd494" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentContinuingOperationsMember_f8865670-2177-4646-85dc-a41e2c720ae5" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SegmentContinuingOperationsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentOperatingActivitiesDomain_609783d0-23b0-4095-af5d-efd8677bd494" xlink:to="loc_us-gaap_SegmentContinuingOperationsMember_f8865670-2177-4646-85dc-a41e2c720ae5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PlanNameAxis_1d1367f2-f076-4913-8adb-40ca92fc4a0e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PlanNameAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_0ccc4b41-6afd-42a0-b4c8-28e06c321498" xlink:to="loc_us-gaap_PlanNameAxis_1d1367f2-f076-4913-8adb-40ca92fc4a0e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PlanNameDomain_17baeaea-0250-4c94-b686-53b73409c32c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PlanNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PlanNameAxis_1d1367f2-f076-4913-8adb-40ca92fc4a0e" xlink:to="loc_us-gaap_PlanNameDomain_17baeaea-0250-4c94-b686-53b73409c32c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_A2015IncentiveAwardPlanMember_9d9c0ef0-0447-41e2-b306-3c55bd84f19b" xlink:href="livn-20220630.xsd#livn_A2015IncentiveAwardPlanMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PlanNameDomain_17baeaea-0250-4c94-b686-53b73409c32c" xlink:to="loc_livn_A2015IncentiveAwardPlanMember_9d9c0ef0-0447-41e2-b306-3c55bd84f19b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_A2022IncentiveAwardPlanMember_577f1e17-c4b3-4175-9aec-a2d76b9f28fd" xlink:href="livn-20220630.xsd#livn_A2022IncentiveAwardPlanMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_PlanNameDomain_17baeaea-0250-4c94-b686-53b73409c32c" xlink:to="loc_livn_A2022IncentiveAwardPlanMember_577f1e17-c4b3-4175-9aec-a2d76b9f28fd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeAxis_c0f4957d-e3f9-46fc-befa-c4388a11f2a9" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RangeAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_0ccc4b41-6afd-42a0-b4c8-28e06c321498" xlink:to="loc_srt_RangeAxis_c0f4957d-e3f9-46fc-befa-c4388a11f2a9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember_7d19e7aa-acdf-4d65-b4a3-8d94ca481940" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RangeMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeAxis_c0f4957d-e3f9-46fc-befa-c4388a11f2a9" xlink:to="loc_srt_RangeMember_7d19e7aa-acdf-4d65-b4a3-8d94ca481940" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MaximumMember_4a927c9e-8dc3-4573-9f9f-78ffe6d13ddf" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_MaximumMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeMember_7d19e7aa-acdf-4d65-b4a3-8d94ca481940" xlink:to="loc_srt_MaximumMember_4a927c9e-8dc3-4573-9f9f-78ffe6d13ddf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MinimumMember_3e0e930c-1a84-40da-847c-c3483a124f67" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_MinimumMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeMember_7d19e7aa-acdf-4d65-b4a3-8d94ca481940" xlink:to="loc_srt_MinimumMember_3e0e930c-1a84-40da-847c-c3483a124f67" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_7edd74ea-ad22-4345-9804-8a0458ea3dcc" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_0ccc4b41-6afd-42a0-b4c8-28e06c321498" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_7edd74ea-ad22-4345-9804-8a0458ea3dcc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AllocatedShareBasedCompensationExpense_e69fd720-c5bb-4199-b731-1beff4bd4a79" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AllocatedShareBasedCompensationExpense"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_7edd74ea-ad22-4345-9804-8a0458ea3dcc" xlink:to="loc_us-gaap_AllocatedShareBasedCompensationExpense_e69fd720-c5bb-4199-b731-1beff4bd4a79" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant_4d92bcf1-612b-45ca-9e97-dc20f00cbf5b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_7edd74ea-ad22-4345-9804-8a0458ea3dcc" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant_4d92bcf1-612b-45ca-9e97-dc20f00cbf5b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1_269dc005-1afd-44c4-93bc-7ae47612e8af" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_7edd74ea-ad22-4345-9804-8a0458ea3dcc" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1_269dc005-1afd-44c4-93bc-7ae47612e8af" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardCompensationCost1_4437e7a6-3c27-4520-8f96-c0bcd57c956b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardCompensationCost1"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_7edd74ea-ad22-4345-9804-8a0458ea3dcc" xlink:to="loc_us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardCompensationCost1_4437e7a6-3c27-4520-8f96-c0bcd57c956b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/StockBasedIncentivePlansExecutedAgreementsDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#StockBasedIncentivePlansExecutedAgreementsDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/StockBasedIncentivePlansExecutedAgreementsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract_3e55fa86-187e-4edb-ae48-265fb25bdf00" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_95cc9143-9356-4235-848a-7c4bc4e753de" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract_3e55fa86-187e-4edb-ae48-265fb25bdf00" xlink:to="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_95cc9143-9356-4235-848a-7c4bc4e753de" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AwardTypeAxis_1e2b56c0-8a70-4924-9fdb-6e5a419ab7bb" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AwardTypeAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_95cc9143-9356-4235-848a-7c4bc4e753de" xlink:to="loc_us-gaap_AwardTypeAxis_1e2b56c0-8a70-4924-9fdb-6e5a419ab7bb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_aab30395-a183-40ef-8912-122a802759ff" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AwardTypeAxis_1e2b56c0-8a70-4924-9fdb-6e5a419ab7bb" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_aab30395-a183-40ef-8912-122a802759ff" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ServiceBasedStockAppreciationRightsMember_c2dc682f-193d-4cb5-8b0b-ab97d2fd8601" xlink:href="livn-20220630.xsd#livn_ServiceBasedStockAppreciationRightsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_aab30395-a183-40ef-8912-122a802759ff" xlink:to="loc_livn_ServiceBasedStockAppreciationRightsMember_c2dc682f-193d-4cb5-8b0b-ab97d2fd8601" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ServiceBasedRestrictedStockUnitsMember_16c78061-2ba3-4c38-b72d-684ba896cefd" xlink:href="livn-20220630.xsd#livn_ServiceBasedRestrictedStockUnitsMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_aab30395-a183-40ef-8912-122a802759ff" xlink:to="loc_livn_ServiceBasedRestrictedStockUnitsMember_16c78061-2ba3-4c38-b72d-684ba896cefd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_MarketbasedPerformanceRestrictedStockUnitsMember_199dcf6b-5e3e-4444-92ae-1020244c5383" xlink:href="livn-20220630.xsd#livn_MarketbasedPerformanceRestrictedStockUnitsMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_aab30395-a183-40ef-8912-122a802759ff" xlink:to="loc_livn_MarketbasedPerformanceRestrictedStockUnitsMember_199dcf6b-5e3e-4444-92ae-1020244c5383" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_PerformanceBasedRestrictedShareAndRestrictedShareUnitMember_a9ef38cc-a954-4bf5-8271-c7d20ddebfb4" xlink:href="livn-20220630.xsd#livn_PerformanceBasedRestrictedShareAndRestrictedShareUnitMember"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_aab30395-a183-40ef-8912-122a802759ff" xlink:to="loc_livn_PerformanceBasedRestrictedShareAndRestrictedShareUnitMember_a9ef38cc-a954-4bf5-8271-c7d20ddebfb4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_5b60b5e3-ad6b-4e4f-a712-9e8177679564" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_95cc9143-9356-4235-848a-7c4bc4e753de" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_5b60b5e3-ad6b-4e4f-a712-9e8177679564" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_0604df97-de2e-4783-9bff-d20dce1bb3a2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_5b60b5e3-ad6b-4e4f-a712-9e8177679564" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_0604df97-de2e-4783-9bff-d20dce1bb3a2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_5912805e-e45b-4f76-ae08-44b8a7930d48" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_5b60b5e3-ad6b-4e4f-a712-9e8177679564" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_5912805e-e45b-4f76-ae08-44b8a7930d48" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/IncomeTaxes" xlink:type="simple" xlink:href="livn-20220630.xsd#IncomeTaxes"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/IncomeTaxes" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxDisclosureAbstract_aed49bf8-65c6-4e1b-9549-eb22f0137d3b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeTaxDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxDisclosureTextBlock_54f66e0d-ff6a-4cce-b837-8c627295f2f9" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeTaxDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxDisclosureAbstract_aed49bf8-65c6-4e1b-9549-eb22f0137d3b" xlink:to="loc_us-gaap_IncomeTaxDisclosureTextBlock_54f66e0d-ff6a-4cce-b837-8c627295f2f9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/IncomeTaxesNarrativeDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#IncomeTaxesNarrativeDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/IncomeTaxesNarrativeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxDisclosureAbstract_8dd92861-8f17-46f6-b920-763ebfa77657" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeTaxDisclosureAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_db5650fa-71c0-4b1b-a4b6-813f7fcb5bc1" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EffectiveIncomeTaxRateContinuingOperations"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxDisclosureAbstract_8dd92861-8f17-46f6-b920-763ebfa77657" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_db5650fa-71c0-4b1b-a4b6-813f7fcb5bc1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnrecognizedTaxBenefits_78c2eab7-100b-4b89-a3da-8672a4fbe886" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_UnrecognizedTaxBenefits"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxDisclosureAbstract_8dd92861-8f17-46f6-b920-763ebfa77657" xlink:to="loc_us-gaap_UnrecognizedTaxBenefits_78c2eab7-100b-4b89-a3da-8672a4fbe886" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DecreaseInUnrecognizedTaxBenefitsIsReasonablyPossible_088c0060-014a-492d-9654-7064d5981a41" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DecreaseInUnrecognizedTaxBenefitsIsReasonablyPossible"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_IncomeTaxDisclosureAbstract_8dd92861-8f17-46f6-b920-763ebfa77657" xlink:to="loc_us-gaap_DecreaseInUnrecognizedTaxBenefitsIsReasonablyPossible_088c0060-014a-492d-9654-7064d5981a41" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/EarningsPerShare" xlink:type="simple" xlink:href="livn-20220630.xsd#EarningsPerShare"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/EarningsPerShare" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareAbstract_d151aa54-eb5c-48aa-bbb6-c11876a668f3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EarningsPerShareAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareTextBlock_3bd3eb7c-9c63-419b-a3b2-b41f6cd3cb55" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EarningsPerShareTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EarningsPerShareAbstract_d151aa54-eb5c-48aa-bbb6-c11876a668f3" xlink:to="loc_us-gaap_EarningsPerShareTextBlock_3bd3eb7c-9c63-419b-a3b2-b41f6cd3cb55" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/EarningsPerShareTables" xlink:type="simple" xlink:href="livn-20220630.xsd#EarningsPerShareTables"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/EarningsPerShareTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareAbstract_0e7ffc29-3a03-48cd-861c-d8af82977a2a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EarningsPerShareAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_75a294eb-ebef-48ea-b123-2653437a468b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EarningsPerShareAbstract_0e7ffc29-3a03-48cd-861c-d8af82977a2a" xlink:to="loc_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_75a294eb-ebef-48ea-b123-2653437a468b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/EarningsPerShareScheduleofEarningsPerShareBasicandDilutedDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#EarningsPerShareScheduleofEarningsPerShareBasicandDilutedDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/EarningsPerShareScheduleofEarningsPerShareBasicandDilutedDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareAbstract_fa7002d9-af73-41db-aa1f-49401b1f27f7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EarningsPerShareAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_752e9a57-58b0-4239-9049-e6d214506e04" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasic"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EarningsPerShareAbstract_fa7002d9-af73-41db-aa1f-49401b1f27f7" xlink:to="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_752e9a57-58b0-4239-9049-e6d214506e04" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements_76439164-4f09-4df7-b85d-2c0420b15436" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EarningsPerShareAbstract_fa7002d9-af73-41db-aa1f-49401b1f27f7" xlink:to="loc_us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements_76439164-4f09-4df7-b85d-2c0420b15436" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_2740db84-c5c9-462e-a152-b1e32ffbe292" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EarningsPerShareAbstract_fa7002d9-af73-41db-aa1f-49401b1f27f7" xlink:to="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_2740db84-c5c9-462e-a152-b1e32ffbe292" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/EarningsPerShareNarrativeDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#EarningsPerShareNarrativeDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/EarningsPerShareNarrativeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareAbstract_394aad40-f674-4816-af99-6bb42085b893" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EarningsPerShareAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable_c4d0f701-ab8b-46e9-9770-72bce2ff50de" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_EarningsPerShareAbstract_394aad40-f674-4816-af99-6bb42085b893" xlink:to="loc_us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable_c4d0f701-ab8b-46e9-9770-72bce2ff50de" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis_07f0e0ed-1d78-488c-8364-fb727022a5cf" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable_c4d0f701-ab8b-46e9-9770-72bce2ff50de" xlink:to="loc_us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis_07f0e0ed-1d78-488c-8364-fb727022a5cf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AntidilutiveSecuritiesNameDomain_8ae2bf82-1ce9-49b1-baf1-b671ca1b2c55" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AntidilutiveSecuritiesNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis_07f0e0ed-1d78-488c-8364-fb727022a5cf" xlink:to="loc_us-gaap_AntidilutiveSecuritiesNameDomain_8ae2bf82-1ce9-49b1-baf1-b671ca1b2c55" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockCompensationPlanMember_7ce068ca-b495-4bd6-aaff-22c7f0ab1dfe" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StockCompensationPlanMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AntidilutiveSecuritiesNameDomain_8ae2bf82-1ce9-49b1-baf1-b671ca1b2c55" xlink:to="loc_us-gaap_StockCompensationPlanMember_7ce068ca-b495-4bd6-aaff-22c7f0ab1dfe" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareLineItems_94f7ceb7-05c3-4ffd-82a4-ae0c252a7da7" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable_c4d0f701-ab8b-46e9-9770-72bce2ff50de" xlink:to="loc_us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareLineItems_94f7ceb7-05c3-4ffd-82a4-ae0c252a7da7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_38208f52-acd6-407c-be7b-59dee38e7af8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareLineItems_94f7ceb7-05c3-4ffd-82a4-ae0c252a7da7" xlink:to="loc_us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_38208f52-acd6-407c-be7b-59dee38e7af8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/GeographicandSegmentInformation" xlink:type="simple" xlink:href="livn-20220630.xsd#GeographicandSegmentInformation"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/GeographicandSegmentInformation" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingAbstract_740e0cc7-4e29-424e-8652-edd0976b2699" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SegmentReportingAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingDisclosureTextBlock_24b7277e-b056-4833-8292-16f6004d040d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SegmentReportingDisclosureTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAbstract_740e0cc7-4e29-424e-8652-edd0976b2699" xlink:to="loc_us-gaap_SegmentReportingDisclosureTextBlock_24b7277e-b056-4833-8292-16f6004d040d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/GeographicandSegmentInformationTables" xlink:type="simple" xlink:href="livn-20220630.xsd#GeographicandSegmentInformationTables"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/GeographicandSegmentInformationTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingAbstract_34cdcace-a333-4ffc-bf20-fe383192ca81" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SegmentReportingAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromExternalCustomersByGeographicAreasTableTextBlock_2f95d184-78b6-4dd0-ba2e-313aa538676f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RevenueFromExternalCustomersByGeographicAreasTableTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAbstract_34cdcace-a333-4ffc-bf20-fe383192ca81" xlink:to="loc_us-gaap_RevenueFromExternalCustomersByGeographicAreasTableTextBlock_2f95d184-78b6-4dd0-ba2e-313aa538676f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock_a97d7f23-3c16-4a7f-b334-9194ccd7b47e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAbstract_34cdcace-a333-4ffc-bf20-fe383192ca81" xlink:to="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock_a97d7f23-3c16-4a7f-b334-9194ccd7b47e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfGoodwillTextBlock_dfb13067-bfcb-4f7f-8752-a4cec8607d90" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfGoodwillTextBlock"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAbstract_34cdcace-a333-4ffc-bf20-fe383192ca81" xlink:to="loc_us-gaap_ScheduleOfGoodwillTextBlock_dfb13067-bfcb-4f7f-8752-a4cec8607d90" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongLivedAssetsByGeographicAreasTableTextBlock_f74676fc-d07e-4a2d-804e-9697ce96affb" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongLivedAssetsByGeographicAreasTableTextBlock"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAbstract_34cdcace-a333-4ffc-bf20-fe383192ca81" xlink:to="loc_us-gaap_LongLivedAssetsByGeographicAreasTableTextBlock_f74676fc-d07e-4a2d-804e-9697ce96affb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/GeographicandSegmentInformationSegmentInfoDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#GeographicandSegmentInformationSegmentInfoDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/GeographicandSegmentInformationSegmentInfoDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingAbstract_ce98b1ee-aa32-441a-a8ec-6a2b474d05c2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SegmentReportingAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_284b36d1-b05f-4e1f-b151-d035b7b0657f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAbstract_ce98b1ee-aa32-441a-a8ec-6a2b474d05c2" xlink:to="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_284b36d1-b05f-4e1f-b151-d035b7b0657f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_StatementGeographicalAxis_c60ccc72-2659-457b-967f-d8cb5a2237d9" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_StatementGeographicalAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_284b36d1-b05f-4e1f-b151-d035b7b0657f" xlink:to="loc_srt_StatementGeographicalAxis_c60ccc72-2659-457b-967f-d8cb5a2237d9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_SegmentGeographicalDomain_8c93a59e-77c7-4806-9f89-5e3d1a688f4a" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_SegmentGeographicalDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_StatementGeographicalAxis_c60ccc72-2659-457b-967f-d8cb5a2237d9" xlink:to="loc_srt_SegmentGeographicalDomain_8c93a59e-77c7-4806-9f89-5e3d1a688f4a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_country_US_152d29da-80f2-43b6-8715-19f9a1b14849" xlink:href="https://xbrl.sec.gov/country/2022/country-2022.xsd#country_US"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_SegmentGeographicalDomain_8c93a59e-77c7-4806-9f89-5e3d1a688f4a" xlink:to="loc_country_US_152d29da-80f2-43b6-8715-19f9a1b14849" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_EuropeMember_7dbaede5-ad83-4728-a0cf-ecbf332a5893" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_EuropeMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_SegmentGeographicalDomain_8c93a59e-77c7-4806-9f89-5e3d1a688f4a" xlink:to="loc_srt_EuropeMember_7dbaede5-ad83-4728-a0cf-ecbf332a5893" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_LocationsExcludingTheUnitedStatesAndEuropeMember_34cf359b-9118-4841-b7cc-f22e782b43da" xlink:href="livn-20220630.xsd#livn_LocationsExcludingTheUnitedStatesAndEuropeMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_SegmentGeographicalDomain_8c93a59e-77c7-4806-9f89-5e3d1a688f4a" xlink:to="loc_livn_LocationsExcludingTheUnitedStatesAndEuropeMember_34cf359b-9118-4841-b7cc-f22e782b43da" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOperatingActivitiesSegmentAxis_44fee063-2363-4aab-aca9-f88abddb2dbd" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StatementOperatingActivitiesSegmentAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_284b36d1-b05f-4e1f-b151-d035b7b0657f" xlink:to="loc_us-gaap_StatementOperatingActivitiesSegmentAxis_44fee063-2363-4aab-aca9-f88abddb2dbd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentOperatingActivitiesDomain_6fb363b4-d4bc-45b8-ae47-180baa5edef8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SegmentOperatingActivitiesDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementOperatingActivitiesSegmentAxis_44fee063-2363-4aab-aca9-f88abddb2dbd" xlink:to="loc_us-gaap_SegmentOperatingActivitiesDomain_6fb363b4-d4bc-45b8-ae47-180baa5edef8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentContinuingOperationsMember_f8d95e2b-209b-4ee8-b5e1-ce049db28c53" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SegmentContinuingOperationsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentOperatingActivitiesDomain_6fb363b4-d4bc-45b8-ae47-180baa5edef8" xlink:to="loc_us-gaap_SegmentContinuingOperationsMember_f8d95e2b-209b-4ee8-b5e1-ce049db28c53" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ConsolidationItemsAxis_f07c52ff-101d-44cf-ae0a-c806f1f9a488" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_ConsolidationItemsAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_284b36d1-b05f-4e1f-b151-d035b7b0657f" xlink:to="loc_srt_ConsolidationItemsAxis_f07c52ff-101d-44cf-ae0a-c806f1f9a488" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ConsolidationItemsDomain_2b44ccae-b5bf-46ab-8295-0d85cca7f7c1" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_ConsolidationItemsDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ConsolidationItemsAxis_f07c52ff-101d-44cf-ae0a-c806f1f9a488" xlink:to="loc_srt_ConsolidationItemsDomain_2b44ccae-b5bf-46ab-8295-0d85cca7f7c1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingSegmentsMember_13fd3c5a-6607-4348-a031-4910bcc3f0c5" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OperatingSegmentsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ConsolidationItemsDomain_2b44ccae-b5bf-46ab-8295-0d85cca7f7c1" xlink:to="loc_us-gaap_OperatingSegmentsMember_13fd3c5a-6607-4348-a031-4910bcc3f0c5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CorporateNonSegmentMember_d4066f39-f449-4c1c-933b-2e2d9970d737" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CorporateNonSegmentMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_ConsolidationItemsDomain_2b44ccae-b5bf-46ab-8295-0d85cca7f7c1" xlink:to="loc_us-gaap_CorporateNonSegmentMember_d4066f39-f449-4c1c-933b-2e2d9970d737" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_a6db2167-5faa-4d3d-9941-bad7be167160" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_284b36d1-b05f-4e1f-b151-d035b7b0657f" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_a6db2167-5faa-4d3d-9941-bad7be167160" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_f79e2e54-3ec7-4ddd-9b23-b368f1dd0b1d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SegmentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_a6db2167-5faa-4d3d-9941-bad7be167160" xlink:to="loc_us-gaap_SegmentDomain_f79e2e54-3ec7-4ddd-9b23-b368f1dd0b1d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_CardiopulmonarySegmentMember_0110bff1-dc67-4eff-8994-dc20595cf473" xlink:href="livn-20220630.xsd#livn_CardiopulmonarySegmentMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_f79e2e54-3ec7-4ddd-9b23-b368f1dd0b1d" xlink:to="loc_livn_CardiopulmonarySegmentMember_0110bff1-dc67-4eff-8994-dc20595cf473" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_NeuromodulationSegmentMember_7f267edd-f4f7-4b8f-b0c5-2efd79869900" xlink:href="livn-20220630.xsd#livn_NeuromodulationSegmentMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_f79e2e54-3ec7-4ddd-9b23-b368f1dd0b1d" xlink:to="loc_livn_NeuromodulationSegmentMember_7f267edd-f4f7-4b8f-b0c5-2efd79869900" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_AdvancedCirculatorySupportSegmentMember_6e3384d3-df2f-4d2d-b0aa-d7a366fdf1f5" xlink:href="livn-20220630.xsd#livn_AdvancedCirculatorySupportSegmentMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_f79e2e54-3ec7-4ddd-9b23-b368f1dd0b1d" xlink:to="loc_livn_AdvancedCirculatorySupportSegmentMember_6e3384d3-df2f-4d2d-b0aa-d7a366fdf1f5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingInformationLineItems_a16e5de1-8cec-46ed-a60e-916e673cef01" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SegmentReportingInformationLineItems"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_284b36d1-b05f-4e1f-b151-d035b7b0657f" xlink:to="loc_us-gaap_SegmentReportingInformationLineItems_a16e5de1-8cec-46ed-a60e-916e673cef01" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NumberOfReportableSegments_ff83ce07-0baa-48ab-a574-1f8a7e7ab4ea" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_NumberOfReportableSegments"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_a16e5de1-8cec-46ed-a60e-916e673cef01" xlink:to="loc_us-gaap_NumberOfReportableSegments_ff83ce07-0baa-48ab-a574-1f8a7e7ab4ea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_NumberOfGeographicRegionsInWhichEntityOperates_5026dcf6-d4a5-4066-8d22-ac03efa01d42" xlink:href="livn-20220630.xsd#livn_NumberOfGeographicRegionsInWhichEntityOperates"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_a16e5de1-8cec-46ed-a60e-916e673cef01" xlink:to="loc_livn_NumberOfGeographicRegionsInWhichEntityOperates_5026dcf6-d4a5-4066-8d22-ac03efa01d42" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_7e2bde42-f5f6-40b5-9d11-414b2361b767" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_a16e5de1-8cec-46ed-a60e-916e673cef01" xlink:to="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_7e2bde42-f5f6-40b5-9d11-414b2361b767" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_OtherOperatingIncomeLossIncludedInSegmentIncomeLossFromContinuingOperations_43a650eb-21d6-4abd-a305-0dc226d456ba" xlink:href="livn-20220630.xsd#livn_OtherOperatingIncomeLossIncludedInSegmentIncomeLossFromContinuingOperations"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_a16e5de1-8cec-46ed-a60e-916e673cef01" xlink:to="loc_livn_OtherOperatingIncomeLossIncludedInSegmentIncomeLossFromContinuingOperations_43a650eb-21d6-4abd-a305-0dc226d456ba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherExpenses_4c4b7e8e-74d3-4112-9909-b69dd152cc68" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherExpenses"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_a16e5de1-8cec-46ed-a60e-916e673cef01" xlink:to="loc_us-gaap_OtherExpenses_4c4b7e8e-74d3-4112-9909-b69dd152cc68" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_afb807de-1e10-434b-af23-0d115d20e8e9" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_a16e5de1-8cec-46ed-a60e-916e673cef01" xlink:to="loc_us-gaap_OperatingIncomeLoss_afb807de-1e10-434b-af23-0d115d20e8e9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpense_22ccdd7a-4069-4124-9464-f353c79141b6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InterestExpense"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_a16e5de1-8cec-46ed-a60e-916e673cef01" xlink:to="loc_us-gaap_InterestExpense_22ccdd7a-4069-4124-9464-f353c79141b6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2009/role/negatedLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ForeignCurrencyTransactionGainLossAndOtherNonoperatingIncome_968dd10d-1cab-43d5-887c-e71b300c9945" xlink:href="livn-20220630.xsd#livn_ForeignCurrencyTransactionGainLossAndOtherNonoperatingIncome"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_a16e5de1-8cec-46ed-a60e-916e673cef01" xlink:to="loc_livn_ForeignCurrencyTransactionGainLossAndOtherNonoperatingIncome_968dd10d-1cab-43d5-887c-e71b300c9945" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_ae2a2477-cf24-4f0a-a793-e42b81b7fbd6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_a16e5de1-8cec-46ed-a60e-916e673cef01" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_ae2a2477-cf24-4f0a-a793-e42b81b7fbd6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_0c68694d-3eca-4ae8-a2aa-e487e67fe39c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_Assets"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_a16e5de1-8cec-46ed-a60e-916e673cef01" xlink:to="loc_us-gaap_Assets_0c68694d-3eca-4ae8-a2aa-e487e67fe39c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentAdditions_d54d68bd-d984-4fe1-b321-11d2f1e009f9" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PropertyPlantAndEquipmentAdditions"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_a16e5de1-8cec-46ed-a60e-916e673cef01" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentAdditions_d54d68bd-d984-4fe1-b321-11d2f1e009f9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/GeographicandSegmentInformationChangesinCarryingAmountofGoodwillDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#GeographicandSegmentInformationChangesinCarryingAmountofGoodwillDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/GeographicandSegmentInformationChangesinCarryingAmountofGoodwillDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingAbstract_f90c7929-9976-446f-ade9-320dc9709e40" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SegmentReportingAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_85fa01a6-1457-4a00-a312-49b4863bf9f1" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAbstract_f90c7929-9976-446f-ade9-320dc9709e40" xlink:to="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_85fa01a6-1457-4a00-a312-49b4863bf9f1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_e1d3376f-3967-4642-beb7-293b3de1ea48" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_StatementBusinessSegmentsAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_85fa01a6-1457-4a00-a312-49b4863bf9f1" xlink:to="loc_us-gaap_StatementBusinessSegmentsAxis_e1d3376f-3967-4642-beb7-293b3de1ea48" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentDomain_18cad8bd-556d-4739-9765-99123617a11d" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SegmentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementBusinessSegmentsAxis_e1d3376f-3967-4642-beb7-293b3de1ea48" xlink:to="loc_us-gaap_SegmentDomain_18cad8bd-556d-4739-9765-99123617a11d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_CardiopulmonarySegmentMember_858fea0c-d00c-4d68-8ff7-729514a0d59b" xlink:href="livn-20220630.xsd#livn_CardiopulmonarySegmentMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_18cad8bd-556d-4739-9765-99123617a11d" xlink:to="loc_livn_CardiopulmonarySegmentMember_858fea0c-d00c-4d68-8ff7-729514a0d59b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_NeuromodulationSegmentMember_68919a10-5f1d-4501-a69b-1661c57fc3cf" xlink:href="livn-20220630.xsd#livn_NeuromodulationSegmentMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_18cad8bd-556d-4739-9765-99123617a11d" xlink:to="loc_livn_NeuromodulationSegmentMember_68919a10-5f1d-4501-a69b-1661c57fc3cf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_AdvancedCirculatorySupportSegmentMember_43c7a855-a5e5-4f57-b05e-f0db906b5200" xlink:href="livn-20220630.xsd#livn_AdvancedCirculatorySupportSegmentMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentDomain_18cad8bd-556d-4739-9765-99123617a11d" xlink:to="loc_livn_AdvancedCirculatorySupportSegmentMember_43c7a855-a5e5-4f57-b05e-f0db906b5200" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingInformationLineItems_0cac8f7b-e7a4-478f-abdc-706ee56efa70" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SegmentReportingInformationLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_85fa01a6-1457-4a00-a312-49b4863bf9f1" xlink:to="loc_us-gaap_SegmentReportingInformationLineItems_0cac8f7b-e7a4-478f-abdc-706ee56efa70" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillRollForward_15a1f24a-2181-4cc1-9db4-ad8855b1e5ec" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_GoodwillRollForward"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_0cac8f7b-e7a4-478f-abdc-706ee56efa70" xlink:to="loc_us-gaap_GoodwillRollForward_15a1f24a-2181-4cc1-9db4-ad8855b1e5ec" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_4c3d701c-bc8d-4eb3-8106-1333682bb188" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_Goodwill"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillRollForward_15a1f24a-2181-4cc1-9db4-ad8855b1e5ec" xlink:to="loc_us-gaap_Goodwill_4c3d701c-bc8d-4eb3-8106-1333682bb188" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodStartLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillAcquiredDuringPeriod_e79162bc-708f-4980-8736-e982a77fba25" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_GoodwillAcquiredDuringPeriod"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillRollForward_15a1f24a-2181-4cc1-9db4-ad8855b1e5ec" xlink:to="loc_us-gaap_GoodwillAcquiredDuringPeriod_e79162bc-708f-4980-8736-e982a77fba25" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillTranslationAndPurchaseAccountingAdjustments_edd90e01-e104-411f-9c32-fa28569adfd0" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_GoodwillTranslationAndPurchaseAccountingAdjustments"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillRollForward_15a1f24a-2181-4cc1-9db4-ad8855b1e5ec" xlink:to="loc_us-gaap_GoodwillTranslationAndPurchaseAccountingAdjustments_edd90e01-e104-411f-9c32-fa28569adfd0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_2afe7d4a-0410-4a30-9931-00847f6aba40" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_Goodwill"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_GoodwillRollForward_15a1f24a-2181-4cc1-9db4-ad8855b1e5ec" xlink:to="loc_us-gaap_Goodwill_2afe7d4a-0410-4a30-9931-00847f6aba40" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/periodEndLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/GeographicandSegmentInformationGeographicAreasDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#GeographicandSegmentInformationGeographicAreasDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/GeographicandSegmentInformationGeographicAreasDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingAbstract_82d0d9e0-529f-46cc-a572-4cf4970b91fc" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SegmentReportingAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_5ffa3242-eea0-4b00-b849-ba08bada7e0c" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingAbstract_82d0d9e0-529f-46cc-a572-4cf4970b91fc" xlink:to="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_5ffa3242-eea0-4b00-b849-ba08bada7e0c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_StatementGeographicalAxis_57b1a9d2-e357-4139-9259-f9f5d321059c" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_StatementGeographicalAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_5ffa3242-eea0-4b00-b849-ba08bada7e0c" xlink:to="loc_srt_StatementGeographicalAxis_57b1a9d2-e357-4139-9259-f9f5d321059c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_SegmentGeographicalDomain_42c39b61-5c42-4850-a890-26333589353c" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_SegmentGeographicalDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_StatementGeographicalAxis_57b1a9d2-e357-4139-9259-f9f5d321059c" xlink:to="loc_srt_SegmentGeographicalDomain_42c39b61-5c42-4850-a890-26333589353c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_country_US_17ce5d05-580f-4f08-97fb-cf70364d11fe" xlink:href="https://xbrl.sec.gov/country/2022/country-2022.xsd#country_US"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_SegmentGeographicalDomain_42c39b61-5c42-4850-a890-26333589353c" xlink:to="loc_country_US_17ce5d05-580f-4f08-97fb-cf70364d11fe" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_EuropeMember_7dbbbc31-1cd4-4731-b790-1194faf61e36" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_EuropeMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_SegmentGeographicalDomain_42c39b61-5c42-4850-a890-26333589353c" xlink:to="loc_srt_EuropeMember_7dbbbc31-1cd4-4731-b790-1194faf61e36" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_LocationsExcludingTheUnitedStatesAndEuropeMember_c2c08f52-4b7a-4a8c-90ea-871d31d69fe5" xlink:href="livn-20220630.xsd#livn_LocationsExcludingTheUnitedStatesAndEuropeMember"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_SegmentGeographicalDomain_42c39b61-5c42-4850-a890-26333589353c" xlink:to="loc_livn_LocationsExcludingTheUnitedStatesAndEuropeMember_c2c08f52-4b7a-4a8c-90ea-871d31d69fe5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingInformationLineItems_abfce0e2-e54d-434b-9bc3-4e364b2ee3a1" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SegmentReportingInformationLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_5ffa3242-eea0-4b00-b849-ba08bada7e0c" xlink:to="loc_us-gaap_SegmentReportingInformationLineItems_abfce0e2-e54d-434b-9bc3-4e364b2ee3a1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_62e67e80-04d0-4fc2-b78a-305e9fafab47" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SegmentReportingInformationLineItems_abfce0e2-e54d-434b-9bc3-4e364b2ee3a1" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentNet_62e67e80-04d0-4fc2-b78a-305e9fafab47" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/SupplementalFinancialInformation" xlink:type="simple" xlink:href="livn-20220630.xsd#SupplementalFinancialInformation"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/SupplementalFinancialInformation" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_3af89462-a82f-420f-bf99-ee7e8f17c701" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BalanceSheetRelatedDisclosuresAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_QuarterlyFinancialInformationTextBlock_e659bf51-607c-4ed2-aed3-3d6c15c96ca0" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_QuarterlyFinancialInformationTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_3af89462-a82f-420f-bf99-ee7e8f17c701" xlink:to="loc_us-gaap_QuarterlyFinancialInformationTextBlock_e659bf51-607c-4ed2-aed3-3d6c15c96ca0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/SupplementalFinancialInformationTables" xlink:type="simple" xlink:href="livn-20220630.xsd#SupplementalFinancialInformationTables"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/SupplementalFinancialInformationTables" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_9ea4e45a-9c44-4c92-853a-10cdf5940871" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BalanceSheetRelatedDisclosuresAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfInventoryCurrentTableTextBlock_6f9de3cb-afc0-40ea-9f72-22dbbc9dc139" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfInventoryCurrentTableTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_9ea4e45a-9c44-4c92-853a-10cdf5940871" xlink:to="loc_us-gaap_ScheduleOfInventoryCurrentTableTextBlock_6f9de3cb-afc0-40ea-9f72-22dbbc9dc139" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfAccruedLiabilitiesTableTextBlock_c1d10cb6-f087-4839-8152-eaab27935319" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfAccruedLiabilitiesTableTextBlock"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_9ea4e45a-9c44-4c92-853a-10cdf5940871" xlink:to="loc_us-gaap_ScheduleOfAccruedLiabilitiesTableTextBlock_c1d10cb6-f087-4839-8152-eaab27935319" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ScheduleOfForeignCurrencyTransactionGainLossAndOtherGainsLossesTableTextBlock_41c09f52-47bb-4aa0-b5fa-2bbb4bbe1bd5" xlink:href="livn-20220630.xsd#livn_ScheduleOfForeignCurrencyTransactionGainLossAndOtherGainsLossesTableTextBlock"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_9ea4e45a-9c44-4c92-853a-10cdf5940871" xlink:to="loc_livn_ScheduleOfForeignCurrencyTransactionGainLossAndOtherGainsLossesTableTextBlock_41c09f52-47bb-4aa0-b5fa-2bbb4bbe1bd5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfCashAndCashEquivalentsTableTextBlock_ed8070c8-068e-43ac-829a-8a5348f031af" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfCashAndCashEquivalentsTableTextBlock"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_9ea4e45a-9c44-4c92-853a-10cdf5940871" xlink:to="loc_us-gaap_ScheduleOfCashAndCashEquivalentsTableTextBlock_ed8070c8-068e-43ac-829a-8a5348f031af" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfRestrictedCashAndCashEquivalentsTextBlock_edb7ed9a-b533-41ed-8e41-7ec4feab7984" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ScheduleOfRestrictedCashAndCashEquivalentsTextBlock"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_9ea4e45a-9c44-4c92-853a-10cdf5940871" xlink:to="loc_us-gaap_ScheduleOfRestrictedCashAndCashEquivalentsTextBlock_edb7ed9a-b533-41ed-8e41-7ec4feab7984" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/SupplementalFinancialInformationInventoryDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#SupplementalFinancialInformationInventoryDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/SupplementalFinancialInformationInventoryDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_777e7075-7c19-4796-bec0-3bf0fa138c6f" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BalanceSheetRelatedDisclosuresAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryRawMaterialsNetOfReserves_573c25d9-31e6-40e6-b55d-6111602b66da" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InventoryRawMaterialsNetOfReserves"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_777e7075-7c19-4796-bec0-3bf0fa138c6f" xlink:to="loc_us-gaap_InventoryRawMaterialsNetOfReserves_573c25d9-31e6-40e6-b55d-6111602b66da" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryWorkInProcessNetOfReserves_5b110905-efa9-4076-aae3-f409b0a72dee" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InventoryWorkInProcessNetOfReserves"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_777e7075-7c19-4796-bec0-3bf0fa138c6f" xlink:to="loc_us-gaap_InventoryWorkInProcessNetOfReserves_5b110905-efa9-4076-aae3-f409b0a72dee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryFinishedGoodsNetOfReserves_4edf263d-fad2-4f22-92f5-09ece4f157e5" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InventoryFinishedGoodsNetOfReserves"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_777e7075-7c19-4796-bec0-3bf0fa138c6f" xlink:to="loc_us-gaap_InventoryFinishedGoodsNetOfReserves_4edf263d-fad2-4f22-92f5-09ece4f157e5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryNet_0d8dbb43-24ab-407d-8ff9-ed4339de4574" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InventoryNet"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_777e7075-7c19-4796-bec0-3bf0fa138c6f" xlink:to="loc_us-gaap_InventoryNet_0d8dbb43-24ab-407d-8ff9-ed4339de4574" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InventoryValuationReserves_df807f4c-d905-46a5-ae23-7438408252f5" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InventoryValuationReserves"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_777e7075-7c19-4796-bec0-3bf0fa138c6f" xlink:to="loc_us-gaap_InventoryValuationReserves_df807f4c-d905-46a5-ae23-7438408252f5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/SupplementalFinancialInformationAccruedLiabilitiesDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#SupplementalFinancialInformationAccruedLiabilitiesDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/SupplementalFinancialInformationAccruedLiabilitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_3f1c2228-b80e-4f4a-a03d-eeaf8b8da6d2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BalanceSheetRelatedDisclosuresAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityCurrent_0c84ed4f-3fd8-4c0c-aba3-5edad00c32ba" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OperatingLeaseLiabilityCurrent"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_3f1c2228-b80e-4f4a-a03d-eeaf8b8da6d2" xlink:to="loc_us-gaap_OperatingLeaseLiabilityCurrent_0c84ed4f-3fd8-4c0c-aba3-5edad00c32ba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractWithCustomerLiabilityCurrent_06a7ed6a-dc12-4ade-beb0-99600db7229a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ContractWithCustomerLiabilityCurrent"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_3f1c2228-b80e-4f4a-a03d-eeaf8b8da6d2" xlink:to="loc_us-gaap_ContractWithCustomerLiabilityCurrent_06a7ed6a-dc12-4ade-beb0-99600db7229a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DisposalGroupOtherAccruedExpenses_00042e03-e801-4b8c-9c38-e3838b12db3f" xlink:href="livn-20220630.xsd#livn_DisposalGroupOtherAccruedExpenses"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_3f1c2228-b80e-4f4a-a03d-eeaf8b8da6d2" xlink:to="loc_livn_DisposalGroupOtherAccruedExpenses_00042e03-e801-4b8c-9c38-e3838b12db3f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedProfessionalFeesCurrent_4c868433-ba8e-4f07-aa3b-0bd81364a73b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccruedProfessionalFeesCurrent"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_3f1c2228-b80e-4f4a-a03d-eeaf8b8da6d2" xlink:to="loc_us-gaap_AccruedProfessionalFeesCurrent_4c868433-ba8e-4f07-aa3b-0bd81364a73b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ResearchAndDevelopmentCostsPayableCurrent_1b6311f9-9a3f-4040-a5f4-2621122eb3a1" xlink:href="livn-20220630.xsd#livn_ResearchAndDevelopmentCostsPayableCurrent"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_3f1c2228-b80e-4f4a-a03d-eeaf8b8da6d2" xlink:to="loc_livn_ResearchAndDevelopmentCostsPayableCurrent_1b6311f9-9a3f-4040-a5f4-2621122eb3a1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationContingentConsiderationLiabilityCurrent_87920325-4805-4ca5-a5b4-1d8d3a754e17" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_BusinessCombinationContingentConsiderationLiabilityCurrent"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_3f1c2228-b80e-4f4a-a03d-eeaf8b8da6d2" xlink:to="loc_us-gaap_BusinessCombinationContingentConsiderationLiabilityCurrent_87920325-4805-4ca5-a5b4-1d8d3a754e17" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ProvisionForAgentsReturnsAndOther_8f711f8c-a7f4-4900-81a8-f81d24011105" xlink:href="livn-20220630.xsd#livn_ProvisionForAgentsReturnsAndOther"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_3f1c2228-b80e-4f4a-a03d-eeaf8b8da6d2" xlink:to="loc_livn_ProvisionForAgentsReturnsAndOther_8f711f8c-a7f4-4900-81a8-f81d24011105" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAccruedLiabilitiesCurrent_2eb14a77-c21a-4a2c-9c54-5b3e1bc543a3" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherAccruedLiabilitiesCurrent"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_3f1c2228-b80e-4f4a-a03d-eeaf8b8da6d2" xlink:to="loc_us-gaap_OtherAccruedLiabilitiesCurrent_2eb14a77-c21a-4a2c-9c54-5b3e1bc543a3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedLiabilitiesCurrent_82b942e9-7be5-45ff-b4c1-eee166ff88f2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_AccruedLiabilitiesCurrent"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_3f1c2228-b80e-4f4a-a03d-eeaf8b8da6d2" xlink:to="loc_us-gaap_AccruedLiabilitiesCurrent_82b942e9-7be5-45ff-b4c1-eee166ff88f2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractWithCustomerLiability_9e265620-42d0-49e2-ac48-8783e8ca4799" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ContractWithCustomerLiability"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_BalanceSheetRelatedDisclosuresAbstract_3f1c2228-b80e-4f4a-a03d-eeaf8b8da6d2" xlink:to="loc_us-gaap_ContractWithCustomerLiability_9e265620-42d0-49e2-ac48-8783e8ca4799" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/SupplementalFinancialInformationForeignExchangeDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#SupplementalFinancialInformationForeignExchangeDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/SupplementalFinancialInformationForeignExchangeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReceivablesAbstract_fb4420a2-c8dd-43f2-ad4a-888ee13f0d70" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ReceivablesAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentTable_184e48c6-efc4-4631-af3f-5471fef2cb65" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ReceivablesAbstract_fb4420a2-c8dd-43f2-ad4a-888ee13f0d70" xlink:to="loc_us-gaap_DebtInstrumentTable_184e48c6-efc4-4631-af3f-5471fef2cb65" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentAxis_3e85eb6a-a81c-4dc1-80b2-f8c95533825a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_184e48c6-efc4-4631-af3f-5471fef2cb65" xlink:to="loc_us-gaap_DebtInstrumentAxis_3e85eb6a-a81c-4dc1-80b2-f8c95533825a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain_63453771-9ef0-4199-805d-f5e66b35652b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentAxis_3e85eb6a-a81c-4dc1-80b2-f8c95533825a" xlink:to="loc_us-gaap_DebtInstrumentNameDomain_63453771-9ef0-4199-805d-f5e66b35652b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeniorNotesMember_2a89e62f-a4f6-40bd-b484-6a901607c962" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SeniorNotesMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_63453771-9ef0-4199-805d-f5e66b35652b" xlink:to="loc_us-gaap_SeniorNotesMember_2a89e62f-a4f6-40bd-b484-6a901607c962" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_CappedCallMember_4611b6c1-5b64-4eb4-86e6-3ca04147ae8e" xlink:href="livn-20220630.xsd#livn_CappedCallMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_63453771-9ef0-4199-805d-f5e66b35652b" xlink:to="loc_livn_CappedCallMember_4611b6c1-5b64-4eb4-86e6-3ca04147ae8e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByLiabilityClassAxis_bee51a53-2304-436c-8b89-60cecbffcc4e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueByLiabilityClassAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_184e48c6-efc4-4631-af3f-5471fef2cb65" xlink:to="loc_us-gaap_FairValueByLiabilityClassAxis_bee51a53-2304-436c-8b89-60cecbffcc4e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationByLiabilityClassDomain_ab919bf3-50d9-4462-8c2e-669e254fdb05" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationByLiabilityClassDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByLiabilityClassAxis_bee51a53-2304-436c-8b89-60cecbffcc4e" xlink:to="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationByLiabilityClassDomain_ab919bf3-50d9-4462-8c2e-669e254fdb05" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_EmbeddedExchangeFeatureLiabilityMember_6a8d9d6b-58d3-453e-9f56-a01f1fe9885f" xlink:href="livn-20220630.xsd#livn_EmbeddedExchangeFeatureLiabilityMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationByLiabilityClassDomain_ab919bf3-50d9-4462-8c2e-669e254fdb05" xlink:to="loc_livn_EmbeddedExchangeFeatureLiabilityMember_6a8d9d6b-58d3-453e-9f56-a01f1fe9885f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeFinancialInstrumentsLiabilitiesMember_c468a3e9-d4d2-47c2-89b0-5934867fbd43" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeFinancialInstrumentsLiabilitiesMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationByLiabilityClassDomain_ab919bf3-50d9-4462-8c2e-669e254fdb05" xlink:to="loc_us-gaap_DerivativeFinancialInstrumentsLiabilitiesMember_c468a3e9-d4d2-47c2-89b0-5934867fbd43" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByAssetClassAxis_d1296d83-152c-4394-b801-9766173b5de2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueByAssetClassAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_184e48c6-efc4-4631-af3f-5471fef2cb65" xlink:to="loc_us-gaap_FairValueByAssetClassAxis_d1296d83-152c-4394-b801-9766173b5de2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain_eb7cc6c0-68ae-4d64-8184-c76d00cdb945" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueByAssetClassAxis_d1296d83-152c-4394-b801-9766173b5de2" xlink:to="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain_eb7cc6c0-68ae-4d64-8184-c76d00cdb945" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeFinancialInstrumentsAssetsMember_d2c8a2c6-b58f-426b-835e-e4266a945513" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DerivativeFinancialInstrumentsAssetsMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain_eb7cc6c0-68ae-4d64-8184-c76d00cdb945" xlink:to="loc_us-gaap_DerivativeFinancialInstrumentsAssetsMember_d2c8a2c6-b58f-426b-835e-e4266a945513" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentLineItems_2f63710a-d7f5-4a90-9fc8-8502925c979e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentLineItems"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentTable_184e48c6-efc4-4631-af3f-5471fef2cb65" xlink:to="loc_us-gaap_DebtInstrumentLineItems_2f63710a-d7f5-4a90-9fc8-8502925c979e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1_0377ca07-12cd-41ba-9410-9138ac46e0e1" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2f63710a-d7f5-4a90-9fc8-8502925c979e" xlink:to="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1_0377ca07-12cd-41ba-9410-9138ac46e0e1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestmentRealizedGainLossOnDisposal_efe07bd9-0e36-4fc5-ad17-a48b57da1eca" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_EquityMethodInvestmentRealizedGainLossOnDisposal"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2f63710a-d7f5-4a90-9fc8-8502925c979e" xlink:to="loc_us-gaap_EquityMethodInvestmentRealizedGainLossOnDisposal_efe07bd9-0e36-4fc5-ad17-a48b57da1eca" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/verboseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeDividend_2c683afc-d237-4da6-8aad-3d9ad30e5c35" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InvestmentIncomeDividend"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2f63710a-d7f5-4a90-9fc8-8502925c979e" xlink:to="loc_us-gaap_InvestmentIncomeDividend_2c683afc-d237-4da6-8aad-3d9ad30e5c35" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax_b1b50bf0-2dd9-4cb7-8e07-5b27bb343fbf" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ForeignCurrencyTransactionGainLossBeforeTax"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2f63710a-d7f5-4a90-9fc8-8502925c979e" xlink:to="loc_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax_b1b50bf0-2dd9-4cb7-8e07-5b27bb343fbf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeNet_2644d0e9-0992-4b26-8700-2da46c27eafa" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_InvestmentIncomeNet"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2f63710a-d7f5-4a90-9fc8-8502925c979e" xlink:to="loc_us-gaap_InvestmentIncomeNet_2644d0e9-0992-4b26-8700-2da46c27eafa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNonoperatingIncomeExpense_863468c0-e357-406a-abff-8b8b9ff7e93a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_OtherNonoperatingIncomeExpense"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2f63710a-d7f5-4a90-9fc8-8502925c979e" xlink:to="loc_us-gaap_OtherNonoperatingIncomeExpense_863468c0-e357-406a-abff-8b8b9ff7e93a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_ForeignCurrencyTransactionGainLossAndOtherNonoperatingIncome_57e8e06b-148f-47bd-a030-4db77c6973e4" xlink:href="livn-20220630.xsd#livn_ForeignCurrencyTransactionGainLossAndOtherNonoperatingIncome"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentLineItems_2f63710a-d7f5-4a90-9fc8-8502925c979e" xlink:to="loc_livn_ForeignCurrencyTransactionGainLossAndOtherNonoperatingIncome_57e8e06b-148f-47bd-a030-4db77c6973e4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/SupplementalFinancialInformationCashCashEquivalentsRestrictedCashDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#SupplementalFinancialInformationCashCashEquivalentsRestrictedCashDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/SupplementalFinancialInformationCashCashEquivalentsRestrictedCashDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReceivablesAbstract_824db367-f978-46ad-8cee-a5a745f6eb30" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_ReceivablesAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_2e707360-3811-4545-aa62-2a246113eeb8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ReceivablesAbstract_824db367-f978-46ad-8cee-a5a745f6eb30" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_2e707360-3811-4545-aa62-2a246113eeb8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue_6ca6da20-66ac-4466-a3d5-d92756c9da34" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ReceivablesAbstract_824db367-f978-46ad-8cee-a5a745f6eb30" xlink:to="loc_us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue_6ca6da20-66ac-4466-a3d5-d92756c9da34" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_228ba4db-3f43-45b1-a976-ab0b103f22ab" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ReceivablesAbstract_824db367-f978-46ad-8cee-a5a745f6eb30" xlink:to="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_228ba4db-3f43-45b1-a976-ab0b103f22ab" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/totalLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/SubsequentEvent" xlink:type="simple" xlink:href="livn-20220630.xsd#SubsequentEvent"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/SubsequentEvent" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventsAbstract_caa63a6d-d2c1-4ac3-817b-69c12f7d219a" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SubsequentEventsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventsTextBlock_bfc6442b-6ff5-4331-88e0-044e1307fd83" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SubsequentEventsTextBlock"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventsAbstract_caa63a6d-d2c1-4ac3-817b-69c12f7d219a" xlink:to="loc_us-gaap_SubsequentEventsTextBlock_bfc6442b-6ff5-4331-88e0-044e1307fd83" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.livanova.cyberonics.com/role/SubsequentEventDetails" xlink:type="simple" xlink:href="livn-20220630.xsd#SubsequentEventDetails"/>
  <link:presentationLink xlink:role="http://www.livanova.cyberonics.com/role/SubsequentEventDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventsAbstract_bd2f0a63-bbbe-4b2f-8366-1b621fdcefcf" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SubsequentEventsAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTable_37b94a4e-3c27-4a5b-9535-420946f819ee" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SubsequentEventTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventsAbstract_bd2f0a63-bbbe-4b2f-8366-1b621fdcefcf" xlink:to="loc_us-gaap_SubsequentEventTable_37b94a4e-3c27-4a5b-9535-420946f819ee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeAxis_ea35b512-7424-454b-94c0-3aca451fed4e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SubsequentEventTypeAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTable_37b94a4e-3c27-4a5b-9535-420946f819ee" xlink:to="loc_us-gaap_SubsequentEventTypeAxis_ea35b512-7424-454b-94c0-3aca451fed4e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeDomain_1d43fcb2-73a5-48eb-8a09-e18d19f4cb74" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SubsequentEventTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTypeAxis_ea35b512-7424-454b-94c0-3aca451fed4e" xlink:to="loc_us-gaap_SubsequentEventTypeDomain_1d43fcb2-73a5-48eb-8a09-e18d19f4cb74" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventMember_a41e27f0-a747-4351-8ee6-b3fe44d3118e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SubsequentEventMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTypeDomain_1d43fcb2-73a5-48eb-8a09-e18d19f4cb74" xlink:to="loc_us-gaap_SubsequentEventMember_a41e27f0-a747-4351-8ee6-b3fe44d3118e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentAxis_46246bea-a517-4bc0-a2c2-fdeb2f4fe941" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentAxis"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTable_37b94a4e-3c27-4a5b-9535-420946f819ee" xlink:to="loc_us-gaap_DebtInstrumentAxis_46246bea-a517-4bc0-a2c2-fdeb2f4fe941" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain_bfccffbd-39db-42e1-b69e-e50f82ec753e" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentAxis_46246bea-a517-4bc0-a2c2-fdeb2f4fe941" xlink:to="loc_us-gaap_DebtInstrumentNameDomain_bfccffbd-39db-42e1-b69e-e50f82ec753e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_InitialTermFacilityMember_f47941c6-64ac-4230-b9b7-013ed8fddc04" xlink:href="livn-20220630.xsd#livn_InitialTermFacilityMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_bfccffbd-39db-42e1-b69e-e50f82ec753e" xlink:to="loc_livn_InitialTermFacilityMember_f47941c6-64ac-4230-b9b7-013ed8fddc04" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DelayedDrawTermFacilityMember_c809711c-a910-416c-93fb-f053841bfab4" xlink:href="livn-20220630.xsd#livn_DelayedDrawTermFacilityMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_bfccffbd-39db-42e1-b69e-e50f82ec753e" xlink:to="loc_livn_DelayedDrawTermFacilityMember_c809711c-a910-416c-93fb-f053841bfab4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityAxis_e51dce75-5a9b-4970-9078-cbcdaf519fcd" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CreditFacilityAxis"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTable_37b94a4e-3c27-4a5b-9535-420946f819ee" xlink:to="loc_us-gaap_CreditFacilityAxis_e51dce75-5a9b-4970-9078-cbcdaf519fcd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain_29ce0052-2797-4e03-913f-e0d5b8101da2" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_CreditFacilityDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CreditFacilityAxis_e51dce75-5a9b-4970-9078-cbcdaf519fcd" xlink:to="loc_us-gaap_CreditFacilityDomain_29ce0052-2797-4e03-913f-e0d5b8101da2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevolvingCreditFacilityMember_365939a3-6e16-4e56-923e-1e176c19e395" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_RevolvingCreditFacilityMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_CreditFacilityDomain_29ce0052-2797-4e03-913f-e0d5b8101da2" xlink:to="loc_us-gaap_RevolvingCreditFacilityMember_365939a3-6e16-4e56-923e-1e176c19e395" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeAxis_96ab5034-12fe-43ca-bced-6e29baf4aa96" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongtermDebtTypeAxis"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTable_37b94a4e-3c27-4a5b-9535-420946f819ee" xlink:to="loc_us-gaap_LongtermDebtTypeAxis_96ab5034-12fe-43ca-bced-6e29baf4aa96" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain_0f7a1704-9a65-4b7c-909b-535fc3cd4c18" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeAxis_96ab5034-12fe-43ca-bced-6e29baf4aa96" xlink:to="loc_us-gaap_LongtermDebtTypeDomain_0f7a1704-9a65-4b7c-909b-535fc3cd4c18" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditMember_159f3915-2b26-44f4-a664-3ecf2f27554b" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LineOfCreditMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_LongtermDebtTypeDomain_0f7a1704-9a65-4b7c-909b-535fc3cd4c18" xlink:to="loc_us-gaap_LineOfCreditMember_159f3915-2b26-44f4-a664-3ecf2f27554b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_VariableRateAxis_4ed7be9a-8a3d-469d-b73c-106888573585" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_VariableRateAxis"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTable_37b94a4e-3c27-4a5b-9535-420946f819ee" xlink:to="loc_us-gaap_VariableRateAxis_4ed7be9a-8a3d-469d-b73c-106888573585" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_VariableRateDomain_91a3226c-633b-4fb2-bd14-6e1ef7ae66f8" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_VariableRateDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_VariableRateAxis_4ed7be9a-8a3d-469d-b73c-106888573585" xlink:to="loc_us-gaap_VariableRateDomain_91a3226c-633b-4fb2-bd14-6e1ef7ae66f8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_SecuredOvernightFinancingRateSOFRMember_778eab09-5fb4-4cba-9288-e9a2181e4108" xlink:href="livn-20220630.xsd#livn_SecuredOvernightFinancingRateSOFRMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_VariableRateDomain_91a3226c-633b-4fb2-bd14-6e1ef7ae66f8" xlink:to="loc_livn_SecuredOvernightFinancingRateSOFRMember_778eab09-5fb4-4cba-9288-e9a2181e4108" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeAxis_fe4c7281-0b8c-4953-b391-9792598ddf44" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RangeAxis"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTable_37b94a4e-3c27-4a5b-9535-420946f819ee" xlink:to="loc_srt_RangeAxis_fe4c7281-0b8c-4953-b391-9792598ddf44" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember_95d1d199-6e2a-4645-aad6-ffff721cb7cf" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_RangeMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeAxis_fe4c7281-0b8c-4953-b391-9792598ddf44" xlink:to="loc_srt_RangeMember_95d1d199-6e2a-4645-aad6-ffff721cb7cf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MaximumMember_004c6b85-0477-45bb-8f3a-f058dfc6c8e6" xlink:href="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd#srt_MaximumMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_srt_RangeMember_95d1d199-6e2a-4645-aad6-ffff721cb7cf" xlink:to="loc_srt_MaximumMember_004c6b85-0477-45bb-8f3a-f058dfc6c8e6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventLineItems_50a4c9e1-0433-4d29-bae7-6aaf47dac3c0" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_SubsequentEventLineItems"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventTable_37b94a4e-3c27-4a5b-9535-420946f819ee" xlink:to="loc_us-gaap_SubsequentEventLineItems_50a4c9e1-0433-4d29-bae7-6aaf47dac3c0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_c0897755-b3b5-4072-a8dc-75dbe44f93b6" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_50a4c9e1-0433-4d29-bae7-6aaf47dac3c0" xlink:to="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_c0897755-b3b5-4072-a8dc-75dbe44f93b6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentTerm_d39aa639-89cf-464b-83ad-48861e57c852" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentTerm"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_50a4c9e1-0433-4d29-bae7-6aaf47dac3c0" xlink:to="loc_us-gaap_DebtInstrumentTerm_d39aa639-89cf-464b-83ad-48861e57c852" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentTermDaysToMaturity_c68e8fa0-1875-4b8c-b2fa-a42ee5ff7d7b" xlink:href="livn-20220630.xsd#livn_DebtInstrumentTermDaysToMaturity"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_50a4c9e1-0433-4d29-bae7-6aaf47dac3c0" xlink:to="loc_livn_DebtInstrumentTermDaysToMaturity_c68e8fa0-1875-4b8c-b2fa-a42ee5ff7d7b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_9f04d482-0d67-438a-bc21-1cc3e8da5261" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_DebtInstrumentBasisSpreadOnVariableRate1"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_50a4c9e1-0433-4d29-bae7-6aaf47dac3c0" xlink:to="loc_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_9f04d482-0d67-438a-bc21-1cc3e8da5261" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentDiscountRate_f6e8428f-f1e3-4c55-9055-24c00433dee0" xlink:href="livn-20220630.xsd#livn_DebtInstrumentDiscountRate"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_50a4c9e1-0433-4d29-bae7-6aaf47dac3c0" xlink:to="loc_livn_DebtInstrumentDiscountRate_f6e8428f-f1e3-4c55-9055-24c00433dee0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityCommitmentFeePercentage_3ac960b7-20b4-4354-9950-91759a2dcf95" xlink:href="https://xbrl.fasb.org/us-gaap/2022/elts/us-gaap-2022.xsd#us-gaap_LineOfCreditFacilityCommitmentFeePercentage"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_50a4c9e1-0433-4d29-bae7-6aaf47dac3c0" xlink:to="loc_us-gaap_LineOfCreditFacilityCommitmentFeePercentage_3ac960b7-20b4-4354-9950-91759a2dcf95" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentAmortizationPercentageYearOne_a2d59b1a-8d01-41ba-8d85-ad813a107a0f" xlink:href="livn-20220630.xsd#livn_DebtInstrumentAmortizationPercentageYearOne"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_50a4c9e1-0433-4d29-bae7-6aaf47dac3c0" xlink:to="loc_livn_DebtInstrumentAmortizationPercentageYearOne_a2d59b1a-8d01-41ba-8d85-ad813a107a0f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentAmortizationPercentageYearTwo_4a4e99e4-7d6e-4ca6-a48d-1c6dfb95453c" xlink:href="livn-20220630.xsd#livn_DebtInstrumentAmortizationPercentageYearTwo"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_50a4c9e1-0433-4d29-bae7-6aaf47dac3c0" xlink:to="loc_livn_DebtInstrumentAmortizationPercentageYearTwo_4a4e99e4-7d6e-4ca6-a48d-1c6dfb95453c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentAmortizationPercentageYearThree_c6acc1d3-569d-4e0d-ae39-a1391e8aea82" xlink:href="livn-20220630.xsd#livn_DebtInstrumentAmortizationPercentageYearThree"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_50a4c9e1-0433-4d29-bae7-6aaf47dac3c0" xlink:to="loc_livn_DebtInstrumentAmortizationPercentageYearThree_c6acc1d3-569d-4e0d-ae39-a1391e8aea82" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentAmortizationPercentageYearFour_9c49b586-5388-43b9-84b1-165d7ee8dcee" xlink:href="livn-20220630.xsd#livn_DebtInstrumentAmortizationPercentageYearFour"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_50a4c9e1-0433-4d29-bae7-6aaf47dac3c0" xlink:to="loc_livn_DebtInstrumentAmortizationPercentageYearFour_9c49b586-5388-43b9-84b1-165d7ee8dcee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentAmortizationPercentageYearFive_d6c139b0-e6bb-4332-9f6a-4acbc348317f" xlink:href="livn-20220630.xsd#livn_DebtInstrumentAmortizationPercentageYearFive"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_50a4c9e1-0433-4d29-bae7-6aaf47dac3c0" xlink:to="loc_livn_DebtInstrumentAmortizationPercentageYearFive_d6c139b0-e6bb-4332-9f6a-4acbc348317f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentCovenantConsolidatedNetLeverageRatio_7192de69-f4e3-42a1-9126-0e24e0ffddb5" xlink:href="livn-20220630.xsd#livn_DebtInstrumentCovenantConsolidatedNetLeverageRatio"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_50a4c9e1-0433-4d29-bae7-6aaf47dac3c0" xlink:to="loc_livn_DebtInstrumentCovenantConsolidatedNetLeverageRatio_7192de69-f4e3-42a1-9126-0e24e0ffddb5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_livn_DebtInstrumentCovenantInterestCoverageRatio_864e816c-16a5-42ae-bac9-fbb6ed440b86" xlink:href="livn-20220630.xsd#livn_DebtInstrumentCovenantInterestCoverageRatio"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_SubsequentEventLineItems_50a4c9e1-0433-4d29-bae7-6aaf47dac3c0" xlink:to="loc_livn_DebtInstrumentCovenantInterestCoverageRatio_864e816c-16a5-42ae-bac9-fbb6ed440b86" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
