Preheat your oven to 350°F (175°C). Line a baking sheet with parchment paper.
In a large mixing bowl, cream together the softened butter, brown sugar, and maple syrup until light and fluffy. Then, mix in the pumpkin puree until well combined.
In a separate bowl, whisk together the flour, baking soda, pumpkin pie spice, and salt.
Gradually add the dry ingredients to the wet mixture, stirring until just combined. Avoid overmixing to keep the cookies chewy.
Cover the bowl with plastic wrap and refrigerate for 30 minutes. This helps develop a chewier texture.
Using a cookie scoop or spoon, drop rounded tablespoons of dough onto the prepared baking sheet, spacing them about 2 inches apart. Bake for 12-15 minutes, or until the edges are set and the centers still look slightly soft.
Let the cookies cool on the baking sheet for 5 minutes before transferring them to a wire rack to cool completely.