MIX tomatoes, 1/2 cup cheese and basil in medium bowl. Add stuffing mix; stir just until moistened.
PLACE 2 chicken breasts in large freezer-weight resealable plastic bag. Pound with meat mallet or side of heavy can until chicken is 1/4 inch thick. Remove from bag; place, top-sides down, on cutting board. Repeat with remaining chicken. Spread chicken with stuffing mixture. Starting at 1 narrow end, tightly roll up each breast. Place, seam-sides down, in 13x9-inch baking dish. Drizzle with dressing.
BAKE 40 min. or until chicken is done (165°F). Sprinkle with remaining cheese; bake 5 min. or until melted