Preheat your oven to 400°F (200°C). Roll out the puff pastry on a lightly floured surface into a 12-inch circle, then transfer it to a parchment-lined baking sheet. Prick the dough all over with a fork to prevent puffing up during baking.
Bake the crust for about 15 minutes, or until it’s just golden around the edges. Remove from the oven and let it cool slightly while you prepare the toppings.
Slice the heirloom tomatoes into thick, uneven rounds. Pat the slices gently with paper towels to remove excess moisture, which helps prevent sogginess.
Arrange the tomato slices on the slightly cooled crust, layering them in overlapping, rustic patterns. Don’t worry about perfect symmetry—the uneven slices catch the light beautifully.
Sprinkle crumbled or sliced cheese evenly over the tomatoes, then scatter chopped basil across the top for a fresh, peppery aroma.
Drizzle olive oil over the assembled tart, then season generously with salt and freshly ground pepper to enhance the flavors.
Bake the tart for an additional 15-20 minutes, until the cheese is melted and bubbling, and the edges of the crust are golden brown.
Once out of the oven, let the tart rest for a few minutes. If desired, drizzle with balsamic glaze for a sweet, tangy finish and a glossy look.
Slice the tart into wedges and serve warm or at room temperature, enjoying the contrast of crispy crust, tender tomatoes, and melty cheese.