Preheat the grill.

Roll the pizza dough in the olive oil and stretch out to form a circle (or an oval, or rectangle...there are no rules here) being careful not to rip the dough. Place the dough directly on the grill grates over med-low heat. Grill the dough until the bottom is crisp and has a slight char. Carefully flip the dough over using a spatula and immediately top the pizza with sauce, basil, tomato and cheese. Close the grill and cook until the cheese is melted and beginning to bubble.

Transfer the pizza to a serving platter and drizzle with the vinegar. Cut the pizza into wedges and serve immediately.