Grill: Preheat grill to medium high. Brush both sides of the bread slices with olive oil. Grill each side of the bread until each side has grill marks, about 1-2 minutes per side.
Assemble: Layer each piece of grilled bread with cheese, peach slices, and then a sprinkle of mint. Optional: add a small drizzle of balsamic vinegar. Enjoy immediately or soon.