With a sharp paring knife, cut out the inside cavity of the tomatoes. Use a melon baller or small spoon to scrape out the seeds. Salt the hollowed tomatoes and rest them cut-side down on paper towels for five minutes to release excess moisture.
Drizzle some olive oil into each tomato and season with salt and pepper.
Spoon some burrata into the center of the tomatoes. Season with more salt and pepper, and a little fresh basil.
Notes
Hollow smartly, not deeply - Scoop out about one-third of the interior using a small melon baller or teaspoon. Going deeper makes the walls fragile.
Bring your burrata to room temperature - Pull the burrata out 20 to 30 minutes before serving. Cold burrata is firm and bland; room temperature burrata is silky, pourable, and far more delicious.
Dress in layers, not all at once - Salt the hollowed tomatoes and rest them cut-side down on paper towels for five minutes to release excess moisture. Then dress in stages: olive oil first, then flaky salt and pepper, then herbs or balsamic.