Pesto: Make your pesto by combining basil, olive oil and lemon juice in a blender and pulsing until smooth.
1. Preheat grill to medium high.
2. Place peaches in a grill basket or small cast iron skillet and grill until softened, about 8-10 minutes.
3. Season burgers liberally with salt and pepper, then grill burgers to desired internal temperature, flipping once and topping with mozzarella cheese.
4. Quickly toast buns then spread with pesto. Add your burger patty then top with additional basil leaves, grilled peaches and a drizzle of balsamic glaze.