If using fresh (not stale) bread, cube the bread into bite-sized pieces. Lay in a single layer on a baking sheet and place in a 275 degree pre-heated oven for 10 minutes. Turn off heat, but leave the bread in for another 10 minutes.
Thinly slice the red onion. Cut the tomato into bite-sized pieces. Grate the parmesan cheese.
Slice the peaches leaving skin on. Heat a heavy bottomed skillet with about 1 Tbsp. olive oil. Lightly grill the peaches on each side. Remove from the pan and set aside.
Add the red onion, tomato, browned peaches and parmesan to a large bowl. Dress with a little of the vinaigrette. You want to coat the veg, but don't drown them.
Next add the bread cubes in 3 batches, adding a bit more vinaigrette with each addition. Mix well between each bread cube addition. Again, everything should be coasted, but not soggy.
Taste for seasoning.
Cut the 4 oz. ball of Burrata into quarters and place 1 oz. on top of each serving.