Place the tomatoes, mozzarella balls, and basil leaves on a cutting board. Place a tomato, then a mozzarella ball, then a basil leaf of the skewer. Continue alternating until the skewer is filled. Place on a plate and repeat with the remaining tomatoes, mozzarella, and basil.
Refrigerate the skewers for up to 24 hours. 30 minutes to 1 hour before serving, drizzle the skewers with vinegar and olive oil then sprinkle with salt and pepper.