Place the chopped tomatoes in a large bowl. Season them with salt and pepper. Use your hands to gently toss the tomatoes. Pour off most of the extra tomato juices. Add oil and vinegar and gently mix with your hands.

Arrange half of an ounce of lettuce on each plate. Divide the tomatoes among the four plates and arrange them on the lettuce. Dot with the chopped Burrata cheese and sprinkle with slivered basil.