In a mixing bowl, beat the softened unsalted butter until smooth.
Gradually add half of the pumpkin-flavored cream cheese and mix until fully incorporated. Then add the remaining cream cheese along with vanilla extract and sea salt, beating until smooth.
Gradually incorporate the powdered sugar, starting with 2 cups, mixing until smooth. Add more sugar as needed to achieve your desired thickness.
Store any excess frosting in an airtight container in the refrigerator.