This Balsamic Grilled tomatoes recipe is delicious on everything from cooked pasta to salads and hamburgers. For this recipe, all you need is a few simple ingredients: olive oil, fresh basil leaves, salt, pepper and aged balsamic vinegar. Marinate the cored, stemmed and seeded Roma tomatoes for roughly 1 hour. Next, place them on the grill for 10 minutes and experience the flavor explosion!