Preheat the oven to 325. Spray an 8x8 glass baking dish with nonstick spray.

While the oven is preheated, mix together the melted butter, egg, Kahlua and coffee. Stir in the brownie mix and stir until combined. Fold in chocolate chips. Pour into the glass baking dish and bake for 40-45 minutes at 325. The brownies will appear slightly underdone but cool to doneness. Let the brownies cool thoroughly. When the brownies are cool, mix together with a hand mixer 3 tbs room temperature butter, 1/3 cup of Kahlua, and 3 tsp vanilla. When the wet ingredients are combined, turn mixer off and add powdered sugar. Mix until combined. Spread over the cooled brownies and top with extra chocolate chips. Cut into squares and enjoy.