Stay. If motions under rule 1.1003 or 1.1004 or a petition under rule 1.1012 are timely

filed, the court may, in its discretion and on such terms, if any, as it deems proper order a stay of any or all further proceedings, executions or process to enforce the judgment, pending disposition of such motion or petition. [Report 1943; November 9, 2001, effective February 15, 2002]