In a large mixing bowl, beat the cream cheese until smooth. Add powdered sugar, vanilla extract, and sea salt, mixing until well combined. Add pumpkin puree, heavy cream, cinnamon, nutmeg, cloves, ginger, and allspice into the cream cheese mixture. Beat on low speed until everything is combined. Slowly increase the speed to medium high and whip until medium-stiff peaks. Be careful not to over beat.
16 ounces cream cheese, 1 1/4 cups powdered sugar, 2 teaspoons pure vanilla extract, 1/8 teaspoon sea salt, 1 cup pumpkin puree, 1 cup heavy whipping cream, 1/2 teaspoon cinnamon, 1/4 teaspoon nutmeg, 1/8 teaspoon cloves, 1/4 teaspoon ginger, 1/8 teaspoon allspice