Combine the first 9 ingredients in a small bowl, and stir the apricot mixture until well-blended. Let the apricot-ginger relish stand for 1 hour.
Rub the chile paste over both sides of the grouper fillets, and prepare the grill.
Place the grouper fillets on a grill rack coated with cooking spray, and grill for 6 minutes on each side or until the fish flakes easily when tested with a fork. Serve the grouper fillets with apricot-ginger relish.
