Combine first 7 ingredients in an 11 x 7-inch baking dish; stir well with a wire whisk. Add salmon, turning to coat. Cover and marinate in refrigerator 1 hour, turning occasionally.
Remove salmon from dish, and discard marinade. Prepare grill. Place salmon on grill rack coated with cooking spray; grill 5 minutes on each side or until fish flakes easily when tested with a fork. Serve with Cilantro-Coconut Chutney.