Preheat oven to 350 degrees. Line a baking sheet with parchment paper.
Sift together flour, baking soda, salt and pumpkin pie spice.
Using a stand or hand held mixer, cream together butter and sugar until fluffy. Beat in eggs one at a time. Beat in vanilla. Gradually beat in sifted flour mixture until well combined. Fold in pumpkin puree.
Drop tablespoonfuls of dough onto prepared baking sheet a couple of inches apart. Baking for 12 - 15 minutes or until cookies start to brown slightly on the edges. Transfer to a cooling rack and cool completely.
While cookies are cooling, cream together the cream cheese and butter. Beat in vanilla. Add in 1 1/2 cup powdered sugar and beat until it is a stiff spreadable mixture. Add more powdered sugar if necessary. Frost cookies. Sprinkle with cinnamon
Serve.
Notes
Be sure to use pumpkin puree and not pumpkin pie mix. Use a cookie scoop to make uniform cookies.Store leftovers in the refrigerator. Nutrition information for estimation purposes only.