<SEC-DOCUMENT>0001639691-19-000055.txt : 20190402
<SEC-HEADER>0001639691-19-000055.hdr.sgml : 20190402
<ACCEPTANCE-DATETIME>20190402160640
ACCESSION NUMBER:		0001639691-19-000055
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20190329
FILED AS OF DATE:		20190402
DATE AS OF CHANGE:		20190402

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Andrle Edward
		CENTRAL INDEX KEY:			0001656026

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-37599
		FILM NUMBER:		19724656

	MAIL ADDRESS:	
		STREET 1:		C/O LIVANOVA PLC
		STREET 2:		5 MERCHANT SQUARE
		CITY:			LONDON
		STATE:			X0
		ZIP:			W2 1AY

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_155423558567525.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
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<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-03-29</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001656026</rptOwnerCik>
            <rptOwnerName>Andrle Edward</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>20 EASTBOURNE TERRANCE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>LONDON</rptOwnerCity>
            <rptOwnerState>X0</rptOwnerState>
            <rptOwnerZipCode>W2 6LG</rptOwnerZipCode>
            <rptOwnerStateDescription>UNITED KINGDOM</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>General Manager, NM</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable></nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2019-03-29</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>1928</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
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            </exerciseDate>
            <expirationDate>
                <footnoteId id="F2"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Ordinary Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1928.0</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>24366</value>
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                    <value>D</value>
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                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>1928</value>
                </transactionShares>
                <transactionPricePerShare>
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                <transactionAcquiredDisposedCode>
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            <expirationDate>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
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                <underlyingSecurityShares>
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            <postTransactionAmounts>
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                    <value>26294</value>
                </sharesOwnedFollowingTransaction>
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            <ownershipNature>
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                    <value>D</value>
                </directOrIndirectOwnership>
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        <derivativeTransaction>
            <securityTitle>
                <value>Performance Stock Units</value>
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            <conversionOrExercisePrice>
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            <transactionDate>
                <value>2019-03-29</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>1928</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
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            <exerciseDate>
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            </exerciseDate>
            <expirationDate>
                <footnoteId id="F5"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Ordinary Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1928.0</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>28222</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Appreciation Rights</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F6"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2019-03-29</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>5903</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F7"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F7"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Ordinary Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>5903.0</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>72231</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 subject to a four-year vesting schedule, vesting 25% on each of the first four anniversaries of March 29, 2019, subject to continued service during the vesting period and the RSU Agreement.</footnote>
        <footnote id="F3">Each performance stock unit (PSU) represents a contingent right to receive one Ordinary Share of the Company in accordance with the terms of the Plan and the award agreement.</footnote>
        <footnote id="F4">On March 29, 2019, reporting person was granted 1,928 PSUs to vest or lapse on the filing of the Company's Annual Report on Form 10-K for the fiscal year ending December 31, 2021 (&quot;2021 Form 10-K&quot;) based on the rank of the Company's total shareholder return for the three-year period ending December 31, 2021 relative to the total shareholder return of a peer group of companies, as determined by the Plan Administrator. The form of agreement for this award was filed with the Securities and Exchange Commission in a Current Report on Form 8-K on April 1, 2019. The number included in column 5 of Table II reflects the target number of PSUs eligible for vesting.</footnote>
        <footnote id="F5">On March 29, 2019, reporting person was granted 1,928 PSUs to vest or lapse on the filing of the Company's Annual Report on Form 10-K for the fiscal year ending December 31, 2021 based on how the Company's cumulative adjusted free cash flow for fiscal years 2019, 2020 and 2021 compares to a target determined by the Plan Administrator.  The form of agreement for this award was filed with the Securities and Exchange Commission on April 1, 2019.  The number included in column 5 of Table II reflects the target number of PSUs eligible for vesting.</footnote>
        <footnote id="F6">93.25 Conversion or Exercise Price of Derivative Security.</footnote>
        <footnote id="F7">Reporting person was granted an award of stock appreciation rights (&quot;SARs&quot;). Subject to the terms and conditions of the Plan and the SAR Agreement, the SARs shall vest in equal installments of 25% on each of the first four anniversaries of the grant date, March 29, 2019.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Sarah K. Mohr, POA</signatureName>
        <signatureDate>2019-04-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
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</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
