Preheat the oven to 350 F. In a medium bowl, whisk together flour, 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, and mix until it is fully combined.
Roll the cookie dough into balls, and place one Oreo cookie on each cookie dough, and wrap around covering the Oreo fully. Place the cookies onto a large ungreased baking sheet.
Bake for 10-12 minutes.
