Prepare frozen patties according to package directions. Arrange patties on one side on a large baking sheet lined with foil. Top with cheese slices. Separate sandwich rounds and place, cut sides up, on the baking sheet with the patties.
Broil 4 to 5 inches from the heat for 1 to 2 minutes or until cheese is melted and sandwich rounds are toasted. Divide basil leaves among sandwich rounds. Top each with a patty and a tomato slice. If desired, top with shredded basil.