Preheat the oven to 425F and prepare a baking sheet with parchment paper or cooking spray. Sprinkle the tomatoes evenly with salt and pepper and let sit for 15-30 minutes to remove as much liquid as you can. Blot the tomatoes dry and drain the burrata balls on paper towels.
Roll the pie crust thinly into the shape of a large rough circle about 14 inches in diameter. Transfer the pie crust to the baking sheet.
Spread the mayonnaise evenly on the pie crust. Layer half of the tomatoes in a large circle on the pie crust, leaving about 3 inches of crust at the edges. Sprinkle with half of the garlic. Repeat with the remaining tomatoes, heaping them into the center of the dough. Top with the remaining garlic, the parmesan cheese, and the burrata balls, breaking them up lightly in the center of the tomatoes.
Form the galette by pulling the edges of the pie crust up and a round the tomatoes to form a crust, pinching the dough together as you go. Spray the crust with cooking spray to help it brown in the oven.
Bake the galette for 45-55 minutes until the crust is browned and crispy and the cheese is bubbly. Let rest for 15 minutes before slicing and serving.
Enjoy!