<SEC-DOCUMENT>0001639691-20-000087.txt : 20200701
<SEC-HEADER>0001639691-20-000087.hdr.sgml : 20200701
<ACCEPTANCE-DATETIME>20200701164402
ACCESSION NUMBER:		0001639691-20-000087
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20200629
FILED AS OF DATE:		20200701
DATE AS OF CHANGE:		20200701

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			ROSENTHAL ARTHUR L
		CENTRAL INDEX KEY:			0001388872

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-37599
		FILM NUMBER:		201005798

	MAIL ADDRESS:	
		STREET 1:		100 CYBERONICS BLVD.
		CITY:			HOUSTON
		STATE:			TX
		ZIP:			77058

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			LivaNova PLC
		CENTRAL INDEX KEY:			0001639691
		STANDARD INDUSTRIAL CLASSIFICATION:	ELECTROMEDICAL & ELECTROTHERAPEUTIC APPARATUS [3845]
		IRS NUMBER:				981268150
		STATE OF INCORPORATION:			X0
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		20 EASTBOURNE TERRACE
		CITY:			LONDON
		STATE:			X0
		ZIP:			W2 6LG
		BUSINESS PHONE:		4402033250662

	MAIL ADDRESS:	
		STREET 1:		20 EASTBOURNE TERRACE
		CITY:			LONDON
		STATE:			X0
		ZIP:			W2 6LG

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	Sand Holdco Plc
		DATE OF NAME CHANGE:	20150420

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	Sand Holdco Ltd
		DATE OF NAME CHANGE:	20150415
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>wf-form4_159363618222901.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-06-29</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001639691</issuerCik>
        <issuerName>LivaNova PLC</issuerName>
        <issuerTradingSymbol>LIVN</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001388872</rptOwnerCik>
            <rptOwnerName>ROSENTHAL ARTHUR L</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>20 EASTBOURNE TERRACE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>LONDON</rptOwnerCity>
            <rptOwnerState>X0</rptOwnerState>
            <rptOwnerZipCode>W2 6LG</rptOwnerZipCode>
            <rptOwnerStateDescription>UNITED KINGDOM</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable></nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2020-06-29</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>2337</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F2"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Ordinary Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>2337.0</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2337</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Each restricted stock unit (RSU) represents a contingent right to receive one ordinary share (Ordinary Share) of LivaNova PLC (the Company), GBP 1.00 par value,  in accordance with the terms of the LivaNova PLC 2015 Incentive Award Plan (the Plan) and the award agreement.</footnote>
        <footnote id="F2">Reporting person was granted RSUs to vest and forfeiture restrictions thereon to lapse on June 29, 2021, subject to continued service during the vesting period and the RSU Agreement.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Sarah K. Mohr, POA</signatureName>
        <signatureDate>2020-07-01</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
