In a food processor combine the flour, baking powder, baking soda, and salt. Pulse 2 to 3 times until mixed. Add the butter and pulse until the mixture resembles coarse meal.
Transfer the biscuit mixture to a medium bowl. Add the buttermilk, salami, and Gorgonzola. Stir until the mixture forms a ball. Turn the mixture out on a floured surface. Roll to 1/2-inch thick. Using a 1-inch diameter cookie cutter, cut out the biscuits and place them 2 baking sheets.