Preheat oven to 350 degrees. Line a 12-cup muffin tin with paper liners or spray with nonstick cooking spray.
In a large bowl, combine the cornmeal, whole wheat flour, baking powder, baking soda, cinnamon, nutmeg, pumpkin pie spice, and salt. Whisk until combined.
In a medium bowl, whisk together the almond milk, pumpkin puree, maple syrup, olive oil, and apple cider vinegar until combined.
Pour the wet ingredients into the bowl with the dry ingredients and stir until just combined. Don’t overmix.
Evenly divide the batter into the muffin cups and bake for 16-20 minutes or until a toothpick inserted in the center comes out clean. Cool for 5 to 10 minutes in the pan, then remove from the pan and place on a wire rack to cool completely. Enjoy!