In a small bowl, combine the olive oil and vinegar with a whisk. Marinate the mozzarella balls in the oil/vinegar mixture for 10 minutes.
Assemble your skewers. Take a wooden or metal skewer in hand. On each skewer, slide 3 mozzarella balls, 2 tortellini, 2 tomatoes and 2 basil leaves. Repeat until all ingredients are on skewers. Drizzle leftover mozzarella marinade over the skewers and sprinkle with salt.