Preheat grill on a low setting. Wipe with olive oil if desired to prevent the bacon from sticking.
Remove pits from the peaches and slice into 8 sections.
Place basil leaf on top of peach slices. Take bacon and wrap all the way around peach slices until the ends meet. Insert a toothpick to hold together.
Grill bacon wrapped peach slices until the bacon is fully cooked to your preference.
Remove from the grill. Sprinkle balsamic glaze across the grilled peaches. Serve warm!