Any party may move to withdraw from the arbitral proceeding within thirty days after receipt of the notice of appointment of the Arbitrator. This post discusses one such deadlinethe one to file a motion to vacate or modify the award.This Note explains the form and content of an application to vacate or modify an arbitration award under the Texas Arbitration. Act. Statutory Framework. Commercial Arbitration Rules and Mediation Procedures. Federal Arbitration Act in accordance with the American. Arbitration Association Construction Industry Rules.