Preheat the grill: Heat a gas or charcoal grill to medium-high. Clean and oil the grates so the peaches don’t stick.
Prep the peaches: Halve the peaches and remove the pits.
Slice each half into 2–3 thick wedges. Brush lightly with olive oil.
Grill the fruit: Place the peaches cut side down. Grill 2–3 minutes per side until char marks appear and the fruit softens slightly.
Don’t overcook.
Cool briefly: Transfer peaches to a plate and let them cool for a minute so the cheese won’t melt away.
Add cheese: Top each peach wedge with a small spoonful of ricotta or a mozzarella pearl. If using burrata or goat cheese, use bite-size dollops.
Wrap with prosciutto: Tear a slice in half lengthwise and wrap around each peach piece, securing the cheese. Keep it snug but not tight.
Finish strong: Drizzle with honey or balsamic glaze.
Add a few grinds of black pepper, scatter torn basil or mint, and sprinkle lemon zest or nuts if using.
Serve right away: Transfer to a platter and serve warm or at room temperature for the best texture.