Preheat oven to 350°F and grease an 8-inch round baking dish.
Cream peanut butter, butter, brown sugar, and maple syrup until fluffy.
Add egg and vanilla and mix until smooth.
Stir in flour, baking soda, and salt. Fold in chocolate chips.
Divide dough into 6 to 7 equal balls.
Flatten slightly, place one peanut butter cup in the center, seal completely, and roll back into a ball.
Place dough balls in baking dish so they touch but are not pressed flat.
Bake 10 to 15 minutes until golden on top but slightly underdone in the center.
Press chocolate discs into tops immediately after baking if using.
Let rest 5 to 10 minutes before scooping and serving warm.