Evenly layer the turkey, prosciutto, provolone, red pepper slices and tomato on each of 4 slices of bread; top with the second slice. With a pastry brush lightly oil the outside of both slices of bread and sprinkle with Parmesan cheese.
To cook: If you have a Panini press, follow the manufacturer's directions. If you don't have a press, heat a skillet over medium heat (preferably a "grill pan" so you will get the desired Panini lines), place the sandwich in the skillet and cover with a plate, weigh the plate down with a can or other weight so it forms a "press". Cook until browned on one side; turn and repeat with the other side. Serve hot.