Combine the flour, salt and sugar in the bowl of a food processor. Add the butter and pulse until it's combined. Add the water by drops until the dough just sticks together. Remove it from the food processor, shape into a disk. Wrap it in plastic wrap and place in the fridge for at least 30 minutes.
While the dough is resting, prepare the peaches by pitting and slicing them. Place the slices in a large bowl and sprinkle with a pinch of salt and the sugar. Let them rest for about 30 minutes.
Preheat the oven to 400. Line a baking sheet with parchment.
Remove the dough from the fridge and roll it out on a floured surface. You want a rough circles about 12 inches in diameter. Transfer the dough to the baking sheet lined with parchment.
Place the fruit in the center of the dough. Leave about an 1 1/2 border around the edges. Fold the edges up around the peaches.
Bake for about 35 minutes.
Eat while sprinkled with a little powdered sugar and a scoop of vanilla ice cream or whipped cream!