Lightly brush 1 side of each bread slice with dressing. Place 2 bread slices, dressing side down, on a sheet of wax paper; top each with 1 slice cheese. Arrange bell pepper strips and basil evenly over cheese slices. Top with remaining 2 slices of cheese and bread slices, placing bread with the dressing side up.
. Cook sandwiches in a preheated panini maker or waffle iron for 3 minutes or until golden brown and cheese melts.