Prepare tortellini according to package directions. Rinse under cold running water.
Thread 1 tomato half, 1 cheese ball, another tomato half, and 1 tortellini onto each skewer. Place skewers in a 13- x 9-inch baking dish. Pour Basil Vinaigrette over skewers, turning to coat. Cover and chill 2 hours. Transfer skewers to a serving platter, and sprinkle with salt and pepper to taste. Discard any remaining vinaigrette.
We tested with Whole Foods Ciliegine Fresh Mozzarella Cheese.