Preheat oven to 400*. Place bread slices on baking sheet and drizzle both sides with olive oil Bake in oven until bread begins to firm up, 8-10 minutes.
While toast is in oven, combine remaining ingredients, except the basil and shredded parmesan, in a mixing bowl. Toss lightly to ensure all pieces combined and have been “touched” by olive oil and balsamic vinegar. Let sit for a bit.
Remove baking sheet from oven and place a slice of mozzarella cheese on each toast. Return to oven until cheese begins to melt, 3 minutes. Remove from oven and place toasts on a pretty platter.
Add chopped basil to your tomato mix, toss lightly to combine. Spoon mixture onto the toast tops. Sprinkle a bit of shredded parmesan on each. Optional: drizzle each with just a bit of balsamic glaze, and serve.