To prepare fish, sprinkle fillets evenly with garlic, 1/2 teaspoon salt, and 1/4 teaspoon pepper. Cover and refrigerate 15 minutes.
To prepare glaze, combine nectar and next 6 ingredients (through 1/4 teaspoon pepper) in a small saucepan; bring to a boil. Reduce heat, and simmer until reduced to 1/4 cup (about 10 minutes). Remove from heat; set aside.
Place fillets, skin side up, on a grill rack coated with cooking spray. Grill 2 minutes; carefully turn over, and grill 4 minutes or until fish flakes easily when tested with a fork or until desired degree of doneness. Brush each fillet with 1 tablespoon glaze; grill 30 seconds.