N.Y. Crim. Proc. Law § 570.58

§ 570.58 Immunity from service of process in certain civil actions.\n A person brought into this state on or after waiver of extradition\nbased on a criminal charge shall not be subject to service of personal\nprocess in civil actions arising out of the same facts as the criminal\nproceeding to answer which he is being or has been returned until he has\nbeen convicted in the criminal proceeding, or if acquitted, until he has\nhad reasonable opportunity to return to the state from which he was\nextradicted.\n