Wash the peaches thoroughly and cut them in half. Remove the pits carefully without damaging the fruit. Brush the cut sides lightly with coconut oil to prevent sticking and encourage caramelization during grilling.
Preheat a grill pan or outdoor grill to medium-high heat. Make sure the cooking surface is hot before adding the peaches. A properly heated grill helps create attractive grill marks and enhances flavor.
Place the peaches cut-side down on the grill. Cook for about 3 to 5 minutes until distinct grill marks appear. Flip them carefully and grill for another 2 to 3 minutes until slightly softened but still firm.
Arrange the arugula across a large serving platter. Drizzle lightly with olive oil and season with a small amount of salt and black pepper. This creates a flavorful foundation for the remaining ingredients.
Scatter the halved cherry tomatoes over the arugula. Using multiple tomato colors creates a visually appealing presentation. Their juicy acidity balances the richness of the cheese beautifully.
Gently tear the burrata into rustic pieces rather than slicing it neatly. The creamy interior will naturally spread across the platter. This technique gives the salad a casual yet elegant appearance.
Place the warm grilled peaches throughout the salad. Their sweetness and slight smokiness pair perfectly with the creamy burrata and peppery greens. Distribute them evenly for balanced flavor in every serving.
Tuck pieces of torn prosciutto around the platter if using. Sprinkle toasted pine nuts over the top for added crunch. These ingredients contribute both texture and savory depth.
Scatter torn basil and mint leaves across the entire dish. The herbs add freshness and enhance the summer flavors. Avoid chopping them too finely to preserve their aroma.
Finish the salad with pesto and aged balsamic vinegar. Serve immediately while the peaches are still slightly warm and the burrata is creamy. The contrast of temperatures and textures makes every bite memorable.