New York Consolidated Laws, Civil Practice Law and Rules - CVP § 1022. Substitution:  extension of time for taking procedural steps

Unless the court orders otherwise, if the time for making a motion for a new trial or for taking an appeal or for making a motion for permission to appeal or for taking any other procedural step in the action has not expired before the occurrence of an event permitting substitution of a party, the period is extended as to all parties until fifteen days after substitution is made, or, in case of dismissal of the action under section 1021, is extended as to all parties until fifteen days after such dismissal.