Preheat a grill pan or outdoor grill to medium-high heat.
Brush the peach halves lightly with 1 tablespoon of olive oil.
Grill the peaches for 2–3 minutes per side until lightly charred with distinct grill marks.
Arrange the grilled peaches on a serving platter.
Tear the burrata into large pieces and place them between the peach halves.
Drizzle with the remaining olive oil, honey, and balsamic glaze.
Sprinkle The Holly Tree Organic Oregano Leaves, The Holly Tree Organic Black Pepper Powder, and The Holly Tree Organic Chili Flakes evenly over the dish.
Finish with fresh basil leaves and the toasted walnuts or pistachios for added crunch.