- Preheat the oven to 350F and line a 12 cupcake tin with paper liners. 
- In a large mixing bowl, combine the flour, brown sugar, baking powder, instant espresso, and pumpkin pie spice. 
- In another bowl, combine the vegetable oil, pumpkin puree, whole milk, ¼ cup coffee, eggs, and vanilla. 
- Add the wet ingredients to the dry and mix just until they are combined-- be sure not to overmix! 
- Divide the batter between the tins, filling each one ¾ of the way full. 
- Bake the cupcakes for 14-16 minutes, or until a toothpick inserted into the center comes out clean. 
- While the cupcakes are warm, remove them from the pan and allow to cool on a wire rack and poke the top a few times with a fork. Drizzle over the remaining ¼ cup coffee (I added about 1 teaspoon to the top of each cupcake). 
- Set the cupcakes aside to cool completely before frosting.