First, you'll want to get the peaches ready. Sautéing them is an optional step, but it brings out their sweetness. Melt butter in a pan over medium-low heat. Place the peach slices in the pan and cook for about two minutes until they start to brown.
While the peaches cook, toast your bread. You can brush the slices with a little olive oil or butter. Toast them in a skillet, on a grill pan, or in a toaster until they are golden brown and have a nice, crisp edge.
Now, go back to your peaches. Sprinkle the brown sugar over them and flip each slice. Let them cook for another two minutes on the other side. You want them to become soft, jammy, and lightly caramelized.
It's time to build your masterpiece. Spread a generous layer of pesto on one or both slices of the warm, toasted bread. The warmth helps release the pesto's fragrant oils. Then, layer on the sliced tomatoes and fresh arugula.
Gently tear the burrata and spread it over the arugula. Season this layer with a pinch of flaky salt and freshly cracked black pepper. Finally, arrange the warm, sautéed peaches on top of the creamy burrata.
To complete your sandwich, drizzle a little balsamic glaze over the peaches. This adds a final touch of sweetness and tang. You can serve it open-faced to show off the beautiful layers or close it up for a more traditional sandwich experience.