Preheat oven to 350F and line baking sheet with parchment paper.
In a large bowl, mix together oats, flour, baking soda, pumpkin pie spice, and salt.
Using a stand mixer or hand mixer, beat together softened butter and both sugars until smooth. Add in eggs, pumpkin puree, and vanilla and beat until creamy.
Slowly add in dry ingredients to wet ingredients until all combined and dough forms.
Using a 2 tbsp cookie scoop, scoop onto sheet. Bake for 11-13 minutes or until slightly golden.
While cookies are baking and cooling, using a stand mixer or hand mixer, beat all icing ingredients together until creamy.
When cookies have totally cooled, dip each cookie top into the icing. Let set before putting away.