<SEC-DOCUMENT>0001639691-18-000028.txt : 20180319
<SEC-HEADER>0001639691-18-000028.hdr.sgml : 20180319
<ACCEPTANCE-DATETIME>20180319164223
ACCESSION NUMBER:		0001639691-18-000028
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20180315
FILED AS OF DATE:		20180319
DATE AS OF CHANGE:		20180319

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			McDonald Damien
		CENTRAL INDEX KEY:			0001686894

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-37599
		FILM NUMBER:		18699301

	MAIL ADDRESS:	
		STREET 1:		5 MERCHANT SQUARE
		STREET 2:		NORTH WHARF ROAD
		CITY:			LONDON
		STATE:			X0
		ZIP:			W21AY

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_152149212906727.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
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<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-03-15</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001686894</rptOwnerCik>
            <rptOwnerName>McDonald Damien</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>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>CEO</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable></nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2018-03-15</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>12729</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>Restricted Stock Units</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>12729.0</value>
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            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>120822</value>
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                    <value>D</value>
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            <transactionDate>
                <value>2018-03-15</value>
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            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>41512</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
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                <transactionAcquiredDisposedCode>
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            <expirationDate>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Stock Appreciation Rights</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>41512.0</value>
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            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>215739</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Performance Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F3"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2018-03-15</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>12729</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
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            <exerciseDate>
                <footnoteId id="F5"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F5"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Performance Stock Units</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>12729.0</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>133551</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Performance Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F3"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2018-03-15</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>12729</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F6"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F6"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Performance Stock Units</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>12729.0</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>146280</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 15, 2018, subject to continued service during the vesting period.</footnote>
        <footnote id="F3">88.38 Conversion or Exercise Price of Derivative Security.</footnote>
        <footnote id="F4">Reporting person was granted an award of stock appreciation rights (&quot;SARs&quot;).  Subject to the terms and conditions of the Plan and the award agreement, the SARs shall vest in equal installments of 25% on each of the first four anniversaries of the grant date, March 15, 2018.</footnote>
        <footnote id="F5">On March 15, 2018, reporting person was granted 12,729 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, 2020 (&quot;2020 Form 10-K&quot;) based on the rank of the Company's total shareholder return for the three-year period ending December 31, 2020 relative to the total shareholder return of a benchmark group of companies. The form of agreement for this award was filed with the Securities and Exchange Commission in a Current Report on Form 8-K on March 16, 2018. The number included in column 5 of Table II reflects the target number of PSUs eligible for vesting.</footnote>
        <footnote id="F6">On March 15, 2018, reporting person was granted 12,729 PSUs to vest or lapse on the filing of the Company's 2020 Form 10-K based on how the Company's cumulative adjusted free cash flow for fiscal years 2018, 2019 and 2020 compares to a target. The form of agreement for this award was filed with the Securities and Exchange Commission on March 16, 2018. The number included in column 5 of Table II reflects the target number of PSUs eligible for vesting.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Sarah K. Mohr as POA</signatureName>
        <signatureDate>2018-03-19</signatureDate>
    </ownerSignature>
</ownershipDocument>
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</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
