In a large glass bowl, combine tomato wedges, olive oil, and basil. Add vinegar, if you like. Toss mixture to combine. Add mozzarella or provolone cheese. Cover and chill in the refrigerator for at least 1 hour.
If the olive oil solidifies when chilled, let the salad stand at room temperature for 30 minutes. Grind pepper over salad and toss lightly. Makes 12 to 16 side-dish servings.