Preheat oven to 375° F. Grease two large cookie sheets with non-stick spray.
In a large bowl, cream butter and both sugars together until fluffy and combined. Stir in the vanilla and egg.
Mix in pumpkin, flour, baking soda, cinnamon, pumpkin pie spice and salt. Mix until combined.
Scoop dough with a small cookie scoop (2 Tablespoons worth of dough) onto the prepared cookie sheets. Bake for 12 minutes. Remove from oven and let cool completely before frosting.