Add 1 cup balsamic vinegar, ¾ cup ketchup, ⅓ cup brown sugar, 1 Tablespoon Worcestershire, 1 Tablespoon mustard, ½ teaspoon salt, ½ teaspoon pepper and ½ teaspoon garlic powder to a medium sauce pan.
Stir to incorporate over medium-high heat and once sauce starts to bubble, reduce heat and simmer 20 minutes.
As sauce is simmering, heat grill to medium or start grill coals. If using coals, place coals off center to grill with indirect heat. If baking or broiling, prepare broiler pan with cooking spray.
After sauce has reduced for 20 minutes, sprinkle chicken breasts with salt, pepper and garlic powder on both sides.
Pour approximately ⅓ cup sauce into a small bowl and set aside to serve for dipping sauce.