Heat grill to medium. Brush both sides of each piece of naan with olive oil.
Place the naan on the grill for 3-5 minutes, or until warm and just beginning to char in places. Flip the naan over and top with the mozzarella and peaches. Continue grilling until the cheese has melted and the naan is crisp, but not burnt.
Sprinkle the pizzas with basil and drizzle with balsamic glaze. Season with salt and pepper, if desired. Cut into wedges and serve.