Pre-heat the grill to 200℃ / 400℉.Cut the peaches in half and remove the pit. Lightly brush the cut side of the peaches with a little olive oil, and place cut side down on the grill. Grill for 2-3 minutes, until the peaches have grill marks.
Whisk together the honey, Dijon mustard, balsamic vinegar and olive oil.
Place the salad greens onto a platter and nestle the peach halves amongst the salad. top each peach half with a generous chunk of Burrata. Drizzle the Balsamic dressing and sprinkle a little sea salt over top just before serving.