Under federal and state laws, there are only a few ways to challenge an arbitrator's award. The Federal Arbitration Act.The Appeal Procedure (Rule 8.2) establishes relatively narrow grounds for appeal beyond the statutory grounds under Section 10 of the Federal Arbitration Act. But sometimes postarbitration motion practice, or partial awards, can leave open the question of just when that 90day period begins to run. Each Appellee may file a crossappeal with the AAA within seven (7) days after notice of filing of a Notice of Appeal . Each Appellee may file a crossappeal with the AAA within seven (7) days after notice of filing of a Notice of Appeal . Following the Supreme Court's decision in Smith v.