This Note explains the procedural steps and the grounds to vacate or modify an arbitral award under Texas the Texas. The AAA can only handle an appeal of the arbitration award if the parties have agreed that an appeal is allowed.We explain the difference between challenges to arbitral awards on substantive grounds, procedural grounds and jurisdictional grounds. Whether you win, lose or draw in arbitration, the decision of the arbitrator is final and there is no meaningful basis for appeal. In the United States, Congress attempted to fill this gap in Section 202 of the Federal Arbitration. ā¢ In the private sector, arbitration awards are subject to appeal to the federal courts on very narrow grounds.