Provided, however, that any person whose license or registration became subject to suspension or has been suspended pursuant to subdivision (a) of section three hundred thirty-five, whether or not such person has furnished security and proof of financial responsibility, shall be relieved from furnishing or maintaining proof of financial responsibility if (1) one year has elapsed since the date of the accident, (2) nine months have elapsed since the date of compliance with any suspension order made against such person because of such accident, (3) such person has neither paid nor agreed in writing to pay anything for damages resulting from such accident, (4) no suit for damages because thereof has been brought against such person and (5) such person is not required to furnish or maintain proof of financial responsibility for some reason other than for having been involved in such accident. If a suit or suits for damages resulting from such accident shall have been brought and such suit or suits shall have resulted in a judgment or judgments, the successful person in such suit or suits shall be relieved from furnishing or maintaining proof of financial responsibility forthwith provided such person is not required to furnish or maintain such proof for reasons other than for having been involved in such accident and, in case such person has furnished security because of having been involved in such accident, it shall be returned to such person or the personal representative of such person forthwith notwithstanding the provisions of subdivision (c) of section three hundred thirty-five. The fact of having been involved in such accident shall not bar the issuance of license and registration to a person who has been relieved from furnishing or maintaining proof of financial responsibility pursuant to the provisions of this paragraph.
N.Y. Veh. and Traf. Law § 337