Preheat the oven to 350 F. In a medium bowl, whisk together flour, pudding mix, salt, and baking soda. In a large bowl, combine butter with peanut butter, granulated sugar, and brown sugar until fluffy.
Add in the egg and vanilla extract, and mix until smooth. Add in the flour mixture, mix until it is fully combined. Roll the cookie dough into balls, and flatten slightly.
Place one mini peanut butter cup on each piece of cookie dough. Roll into a balls, and place onto a large ungreased baking sheet at least 2-inches apart. Bake for 10-12 minutes.
