Cut tomatoes into thin slices. Cheese cut into slices of the same size. Coarsely chop the basil. Grease 4 sheets of foil with oil, put on them, alternating, slices of tomato and cheese. Drizzle each layer with oil, shift with basil, salt and pepper a little. Wrap the portions in foil, put on the grill grate. Bake 10 minutes.