Heat the grill: Preheat a grill or grill pan to medium-high. Clean and oil the grates so the peaches don’t stick.
Prep the peaches: Cut peaches into halves or thick wedges. Brush the cut sides lightly with olive oil.
Grill quickly: Place peaches cut side down.
Grill 2–3 minutes until grill marks appear and the fruit softens slightly. Flip for 30–60 seconds if you like a bit more warmth.
Cool a touch: Transfer peaches to a plate and let them cool for 1–2 minutes so the prosciutto doesn’t melt away.
Add cheese: Spoon a small amount of mozzarella, burrata, or goat cheese onto each peach piece. Keep it modest so it’s easy to eat in one or two bites.
Wrap with prosciutto: Drape or wrap a slice of prosciutto around each peach piece.
It should hold the cheese in place.
Finish with flavor: Drizzle with balsamic glaze, add torn basil or mint, crack black pepper over the top, and sprinkle a tiny pinch of flaky salt if needed.
Serve: Arrange on a platter and serve warm or at room temperature with lemon wedges on the side.