Step 1 In a small, heavy-bottomed pot, heat 2 tablespoons olive oil over medium heat. Add the onion, carrot, basil and thyme. Cook, stirring frequently, until the vegetables are tender, 10 to 12 minutes.
Step 2 Stir in the tomatoes, along with three-fourths teaspoon salt and one-fourth teaspoon pepper, or to taste. Simmer for 20 minutes to break down the tomatoes and marry the flavors.
Step 3Remove from heat and purée the soup, then strain through a fine mesh strainer. Serve the soup hot, with a small spoonful of burrata and a drizzle of olive oil.