Preheat oven to 375°F (190°C). Grease a muffin tin or line with paper liners.
In a large bowl, whisk together pumpkin puree, eggs, milk, and vegetable oil until smooth.
In another bowl, combine cornmeal, flour, sugar, baking powder, baking soda, salt, cinnamon, and nutmeg.
Gradually add dry ingredients to wet ingredients, stirring until just combined.
Divide batter evenly among muffin cups.
Bake for 20 minutes or until a toothpick inserted into the center comes out clean.
Let muffins cool in the tin for 5 minutes, then transfer to a wire rack to cool completely.