Preheat the oven to 350° F. Line a baking sheet with parchment paper.

Add the butter to a skillet set over medium heat. Cook until the butter begins to brown, about 3-4 minutes. Remove from the heat and transfer to a heatproof bowl. Let cool for 5 minutes.

To the browned butter, mix in the brown sugar, 1/3 cup pumpkin butter, the egg, vanilla, and espresso powder, mixing until smooth. Add the flour, oats, baking soda, pumpkin spice, and salt.

Dollop the remaining 1/3 cup pumpkin butter over the dough. Sprinkle over the chocolate chips. Gently fold the pumpkin butter and chocolate into the dough, being careful to not over-mix.

Roll the dough into rounded tablespoon size balls, it might be a little sticky. Place 2 inches apart on the prepared baking sheet. Gently flatten the dough down. Bake for 8 minutes. Remove from the oven, rotate, and tap the baking sheet on the counter 1-2 times to flatten. Bake another 2-3 minutes or until the cookies are just beginning to set on the edges.

Sprinkle with sea salt (if desired). Let the cookies cool on the baking sheet.