The AAA can only handle an appeal of the arbitration award if the parties have agreed that an appeal is allowed. Arbitral awards cannot be overturned merely because the arbitrators misunderstood or misapplied the law.Article V of the New York Convention sets out the grounds on which the court may refuse to enforce an arbitral award. It lists the grounds based on which courts may refuse recognition and enforcement of a foreign arbitral award. The FAA implements all seven of the non-enforcement grounds in the New York. General provisions. 1. 2. In New York, CPLR § 7511(b) sets forth the grounds upon which a court can vacate an arbitral award.