Heat gas or charcoal grill. In medium bowl, combine all salsa ingredients; mix well. Set aside.
Brush oil over all sides of chicken breast halves. Sprinkle with 1/4 teaspoon salt, the pepper and ground red pepper.
When grill is heated, place chicken on gas grill over medium heat or on charcoal grill 4 to 6 inches from medium coals. Cook 10 to 12 minutes or until chicken is fork-tender and juices run clear, turning once. Serve salsa with chicken.