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, mix until it is fully combined. Fold in the peanut butter chips.
Roll the cookie dough into balls, and flatten slightly. Place one Rolo on each piece of cookie dough. Roll into a ball, covering the chocolate completely. Place onto a large ungreased baking sheet at least 2-inches apart. Bake for 10-12 minutes.