Prepare barbecue (medium heat). Stir jelly, cilantro, vinegar and chili in heavy medium saucepan over low heat until glaze comes to simmer. Reserve 1/4 cup glaze in saucepan; pour remaining glaze into small bowl.
Brush chicken all over with glaze from bowl. Set pan of reserved glaze at edge of barbecue to rewarm. Place chicken, skin side down, on barbecue. Grill 4 minutes; brush with glaze from bowl. Using tongs, turn chicken over. Grill 5 minutes. Brush with glaze from bowl. Turn chicken again and grill until cooked through, about 2 minutes longer.
Transfer chicken to plates. Spoon glaze in saucepan over and serve.