01 - Preheat grill or grill pan over medium-high heat.
02 - Lightly brush peach halves with 1 tablespoon olive oil. Place peaches cut-side down on grill and cook 2 to 3 minutes until grill marks appear and fruit softens slightly. Remove from heat, let cool briefly, then slice into wedges.
03 - In a small bowl, whisk together remaining olive oil, honey, sea salt, and black pepper until well combined.
04 - Arrange arugula on a large serving platter. Top evenly with grilled peach wedges, cherry tomato halves, and shallot slices.
05 - Tear burrata into large pieces and distribute over salad base.
06 - Drizzle salad with prepared dressing and balsamic glaze. Sprinkle toasted nuts and torn basil leaves over the top.
07 - Present immediately while peaches remain slightly warm for optimal texture and flavor.