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( Mark One ) UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington , D.C. 20549 Form 10 - K ANNUAL REPORT PURSUANT TO SECTION 13 OR 15 ( d ) OF THE SECURITIES EXCHANGE ACT OF 1934 For the fiscal year ended December 31 , 2020 TRANSITION REPORT PURSUANT TO SECTION 13 OR 15 ( d ) OF THE SECURITIES EXCHANGE ACT OF 1934 For the transition period from to or Commission file number : 001-37599 LivaNova LivaNova PLC ( Exact name of registrant as specified in its charter ) England and Wales 98-1268150 ( State or other jurisdiction of incorporation or organization ) Title of each class Ordinary Shares - £ 1.00 par value per share П 20 Eastbourne Terrace , London , United Kingdom , W2 6LG ( Address of principal executive offices ) ( Zip Code ) Registrant's telephone number , including area code : ( 44 ) ( 0 ) 203 325-0660 ( I.R.S. Employer Identification No. ) Securities registered pursuant to Section 12 ( b ) of the Act : Trading Symbol ( s ) . LIVN Securities registered pursuant to Section 12 ( g ) of the Act : None Indicate by check mark if the registrant is a well - known seasoned issuer , as defined in Rule 405 of the Securities Act . Yes > No Indicate by check mark if the registrant is not required to file reports pursuant to Section 13 or Section 15 ( d ) of the Act . Yes No Indicate by check mark whether the registrant ( 1 ) has filed all reports required to be filed by Section 13 or 15 ( d ) of the Securities Exchange Act of 1934 during the preceding 12 months ( or for such shorter period that the registrant was required to file such reports ) , and ( 2 ) has been subject to such filing requirements for the past 90 days . Yes No Name of each exchange on which registered NASDAQ Global Market Indicate by check mark whether the registrant has submitted electronically every Interactive Data File required to be submitted pursuant to Rule 405 of Regulation S - T ( §232.405 of this chapter ) during the preceding 12 months ( or for such shorter period that the registrant was required to submit such files ) . Yes No Indicate by check mark whether the registrant is a large accelerated filer , an accelerated filer , a non - accelerated filer , a smaller reporting company , or an emerging growth company . See the definitions of " large accelerated filer , " " accelerated filer , " " smaller reporting company , " and " emerging growth company " in Rule 12b - 2 of the Exchange Act . Large accelerated filer Non - accelerated filer Emerging growth company If an emerging growth company , indicate by check mark if the registrant has elected not to use the extended transition period for complying with any new or revised financial accounting standards provided pursuant to Section 13 ( a ) of the Exchange Act . Accelerated filer Smaller reporting company Indicate by check mark whether the registrant has filed a report on and attestation to its management's assessment of the effectiveness of its internal control over financial reporting under Section 404 ( b ) of the Sarbanes - Oxley Act ( 15 U.S.C. 7262 ( b ) ) by the registered public accounting firm that prepared or issued its audit report . Indicate by check mark whether the registrant is a shell company ( as defined in Rule 12b - 2 of the Act ) . Yes No X 1 The aggregate market value of the voting and non - voting common equity held by non - affiliates of the registrant was approximately $ 2.3 billion ( based on the closing price of these shares on the NASDAQ Global Market on June 30 , 2020 , the last business day of the most recently completed second fiscal quarter ) . For purposes of this calculation , ordinary shares held by persons who hold more than 5 % of the outstanding ordinary shares and shares held by executive officers and directors of the registrant have been excluded as such persons may be deemed to be affiliates . As of February 25 , 2021 , 48,663,429 ordinary shares were outstanding . DOCUMENTS INCORPORATED BY REFERENCE Portions of the definitive proxy statement of LivaNova PLC for the 2021 Annual General Meeting of Shareholders , which will be filed within 120 days of December 31 , 2020 , are incorporated by reference into Part III of this Annual Report on Form 10 - K .