Preheat the oven to 350°F. Line a baking sheet with parchment paper. Add the peanut butter, maple syrup, and ½ tsp salt to the bowl of a food processor. Process on high until peanut butter mixture thickens and forms a solid mass, about 1 to 2 minutes.
Shape the cookies
Divide the cookie dough into 10 even pieces and transfer to the lined baking sheet. Roll each piece into a ball using your hands. Use the back of a fork to press a criss-cross pattern into each cookie, flattening each ball into a disc about ½ inch thick. Sprinkle with sesame seeds.
Bake the cookies
Bake the peanut butter cookies until they darken slightly, about 10 to 12 minutes. Allow to cool completely before removing from the lined baking sheet.