Roll the pizza dough into a small disk on a lightly-floured surface; let it rest 10 minutes, then toss, stretch or roll it into a thin, broad crust.
Prepare a grill for high heat. Brush the pizza dough with some of the oil and place it on the grill. Grill, covered, for 30 seconds, then check: The crust should be slightly stiff but not deeply browned. Flip the crust, top it with a thin layer of the tomato sauce and the mozzarella. Sprinkle with some basil leaves, cover and grill until the cheese has melted and the crust has browned, about 30 seconds more.
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