Preheat oven to 450°.
Combine first 4 ingredients in a heavy-duty zip-top plastic bag; seal and shake to coat with oil.
Arrange vegetable mixture in a single layer on a large foil-lined jelly roll pan. Bake at 450° for 20 minutes; turn vegetables with a spatula. Bake 20 minutes or until lightly browned.
Combine tomato and next 4 ingredients in a food processor; process until smooth.
Spread tomato mixture evenly on top half of each roll. Arrange vegetable mixture evenly over bottom half of each roll. Top evenly with cheese and remaining halves of rolls. Wrap each sandwich in foil. Bake at 450° for 10 minutes or until cheese melts.