Preheat the oven to 350 F. In a medium bowl, whisk together flour, salt, and baking soda. In another large bowl, combine softened butter with sugar until fluffy.
Add in egg and vanilla extract, mix until smooth. Add in the flour mixture, and mix until a thick dough forms. Fold in chocolate chips.
For the peanut butter filling, in a large bowl, combine softened butter with peanut butter and powdered sugar until a thick dough forms.
Roll cookie dough into balls, and flatten slightly. Roll peanut butter dough into balls, and place each one over a piece of chocolate chip cookie dough.
Roll the cookie dough over the peanut butter filling, form into a large ball. Place cookies onto a large ungreased baking sheet at least 2-inches apart.
Bake for 10-12 minutes.