Cut the tomatoes into 1/4-inch-thick slices (I found slightly thinner worked best), then dice 4 slices and set those aside for garnish (I used the grape tomatoes pictured for this step).
On a large plate, arrange the tomato slices, slightly overlapping, to cover the entire surface.
Place your thumbs on top of the burrata and open it gently. Place the burrata in the center of the plate, on top of the tomatoes. If you are using the mozzarella, just tear it into pieces, as in the photos, and spread evenly over the tomatoes.
Pour the diced tomato on top, and dress with olive oil. Season to taste with salt and pepper, then sprinkle the basil leaves over the top.