Place bread slices on a baking sheet. Broil 1 minute or until lightly toasted. Turn slices and brush with olive oil. Broil 1 minute.
Arrange cheese slices evenly over toast, covering edges. Sprinkle with caraway seeds, and top with tomato slices. Sprinkle with Parmesan cheese and thyme; broil 2 to 3 minutes or until cheese melts.