Drain the tomatoes. Place the cut tomatoes in a colander and toss with ¼ teaspoon salt; let them drain for 20 to 30 minutes.
Make the breadcrumb topping. Meanwhile, heat 2 tablespoons of oil in a 10-inch skillet set over medium heat. Add the breadcrumbs to the heated oil; season with salt and pepper, and cook for about 2 minutes, stirring frequently until the breadcrumbs are crispy and golden. Stir in the garlic and cook for 15 seconds, or until fragrant. Remove from the heat and transfer the crumbs to a plate to cool.
Make the dressing. In a large mixing bowl, whisk together ¼ cup olive oil with 1 to 2 tablespoons white balsamic vinegar. Whisk in the salt and pepper.
Combine. Add the tomatoes and basil to the vinegar mixture in the bowl; gently toss to combine. Taste for salt and pepper, and adjust accordingly.
Finish and serve. Arrange the tomato salad on a serving platter. Top with the bread crumbs and the torn burrata cheese, and serve.