Heat the grill: Preheat a gas grill to medium-high or set a grill pan over medium-high heat.
Clean and oil the grates lightly so the fruit doesn’t stick.
Prep the nectarines: Halve the nectarines and remove the pits. If they’re very large, cut into wedges. Toss with 1–2 teaspoons of olive oil and a pinch of salt.
Grill the fruit: Place nectarines cut-side down.
Grill 2–4 minutes until charred lines appear and the fruit softens slightly. Flip and grill 1–2 minutes more. You want tender, not mushy.
Plate the burrata: Arrange burrata on a serving platter.
Gently tear it open so the creamy center spills out a bit. Drizzle with a little olive oil and a pinch of salt.
Add the nectarines: Nestle the warm nectarines around the burrata. The heat will soften the cheese in the best way.
Finish with flavor: Drizzle honey generously over the fruit and cheese.
Add lemon zest and a light squeeze of lemon juice. Crack pepper over everything. Scatter torn basil or mint on top.
Optional extras: Add a handful of arugula under the burrata, sprinkle toasted nuts, lay a few ribbons of prosciutto, or finish with a touch of balsamic glaze for tangy sweetness.
Serve immediately: This dish is best warm and fresh.
Offer crusty bread or crostini to scoop it all up.