RESERVE 1 tablespoons dressing; pour remaining over chicken and vegetables in shallow dish. Stir vegetables and turn chicken to evenly coat both sides of each piece. Refrigerate 30 minute to marinate.
HEAT Panini grill. Meanwhile, drain chicken and vegetables; discard marinade. Cook chicken and vegetables in skillet on medium heat 10 minute or until chicken is done (165ºF) and vegetables are crisp-tender, turning chicken after 5 minute and stirring vegetables occasionally.
FILL bread slices with chicken, vegetables, cheese and basil to make 2 sandwiches; brush outsides with reserved dressing. Grill 5 minute or until golden brown.
Shortcut: Substitute 1 drained 7-oz. jar roasted red peppers for the marinated cooked fresh pepper strips.
Use Your Skillet: If you don't have a Panini maker, cook sandwiches in a skillet instead. Spray large skillet with cooking spray. Heat on medium heat. Add sandwiches; cook 5 minute on each side or until golden brown on both sides, occasionally pressing down on sandwiches with back of spatula to flatten slightly.