01 - Preheat oven to 350°F. Lightly grease a 2-quart baking dish or six 6-oz ramekins with butter or cooking spray.
02 - In a large mixing bowl, whisk together pumpkin puree, whole milk, eggs, heavy cream, brown sugar, granulated sugar, and vanilla extract until completely smooth and incorporated.
03 - Add pumpkin pie spice, ground cinnamon, and sea salt to the wet mixture. Whisk thoroughly until no dry spots remain and the mixture is uniformly blended.
04 - Pour the pumpkin mixture into the prepared baking dish, or divide evenly among the ramekins if making individual portions.
05 - Place the baking dish or ramekins inside a larger roasting pan. Carefully pour hot water into the roasting pan until it reaches halfway up the sides of the baking vessel.
06 - Bake for 40-45 minutes. The pudding is done when the edges are set but the center still has a slight wobble when gently shaken.
07 - Remove from oven and carefully lift the dish from the water bath. Let cool for at least 15 minutes before serving warm, or refrigerate for at least 2 hours to serve chilled.