ShadowBuys
Sign inJoin for free

SEC EDGAR · Insider purchase

BORR: Troim Tor Olav reported buying shares

1 reported purchase of non-derivative securities. Code P includes open-market and private purchases; it does not establish motive.

Follow BORR
Became public
Oct 16, 2026
Event / period date
Oct 15, 2026
Collected
Nov 8, 2026, 10:06 PM EST

Why this is connected

This filing identifies Borr Drilling Ltd as the issuer of the security. The company's SEC identifier connects it to BORR.

Open the original source ↗Follow company activity in BORR

Reported transactions

Troim Tor Olav (Director)

500,000 shares · Common Shares

Oct 15, 2026 · $4.5983 per share

Value calculated from the reported shares and prices: $2,299,150.00.

Code P covers open-market and private purchases. Grants, option exercises, and tax withholding are excluded from purchase results. Read the source footnotes for ownership and pricing details.

Source evidence

Read the source excerpt or record
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0609</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2026-10-15</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001715497</issuerCik>
        <issuerName>Borr Drilling Ltd</issuerName>
        <issuerTradingSymbol>BORR</issuerTradingSymbol>
        <issuerForeignTradingSymbol>BORR</issuerForeignTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001709630</rptOwnerCik>
            <rptOwnerName>Troim Tor Olav</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerNonUSAddressFlag>true</rptOwnerNonUSAddressFlag>
            <rptOwnerStreet1>C/O BORR DRILLING LIMITED</rptOwnerStreet1>
            <rptOwnerStreet2>2ND FLOOR 9 PAR-LA-VILLE ROAD</rptOwnerStreet2>
            <rptOwnerCity>HAMILTON</rptOwnerCity>
            <rptOwnerNonUSStateTerritory></rptOwnerNonUSStateTerritory>
            <rptOwnerCountry>D0</rptOwnerCountry>
            <rptOwnerZipCode>D0 HM11</rptOwnerZipCode>
            <rptOwnerStateDescription>BERMUDA</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2026-10-15</value>
            </transactionDate>
            <deemedExecutionDate>
                <value>2026-10-16</value>
            </deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>5</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value>E</value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>500000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>4.5983</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>40117808</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Drew Holdings Ltd.</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Drew Holdings Ltd. is wholly owned by Drew Trust, a non-discretionary trust in which the reporting person is the beneficiary.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Temi Bankole as attorney-in-fact</signatureName>
        <signatureDate>2026-10-16</signatureDate>
    </ownerSignature>
</ownershipDocument>

Congressional trading in BORR

These disclosures provide context. Their presence does not establish a link between a trader and the event.

Original documents control. Public records can be amended, and company connections may require interpretation. Nothing here is investment advice.