1Heat gas or charcoal grill to medium. Spray 9-inch sheet of aluminum foil with nonstick cooking spray. Mix allspice, thyme, cinnamon, nutmeg, pepper and red pepper; rub seasonings on both sides of tenderloin. Place turkey on foil; top with onion and bell pepper. Cover with another 9-inch sheet of foil; fold edges together to seal packet.
2Grill 4 inches from heat 20 minutes. Open packet. Remove turkey; keep vegetable mixture warm. Grill turkey 4 to 5 minutes longer or until brown and juice runs clear. Thinly slice turkey. Top with vegetable mixture and chutney.