N.Y. Surr. Ct. Proc. Act § 312

§ 312. Additional parties; supplemental process\n The court may issue a supplemental process at any time and require any\nparty to procure it and cause it to be served in conformity with the\nprovisions of 307 and 308 on any person in any proceeding, so that any\nperson necessary or proper to a final determination therein may be made\na party thereto.\n