Preheat your oven to 350°F (175°C).
In a large mixing bowl, cream together the softened butter, brown sugar, and granulated sugar until light and fluffy.
Add the pumpkin puree and egg, mixing until well combined.
In another bowl, whisk together the flour, baking soda, pumpkin spice, and salt.
Gradually add the dry ingredients to the wet mixture, stirring until just combined.
Drop spoonfuls of dough onto a baking sheet lined with parchment paper.
Flatten each cookie slightly with the back of a spoon.
Bake in the preheated oven for 10-12 minutes or until the edges are lightly golden.
Remove from the oven and let cool on the baking sheet for 5 minutes.
Transfer the cookies to a wire rack to cool completely. Drizzle with caramel sauce if desired.