Start by making the spice tea. In a small sauce pan over high heat, add the water, ginger, cinnamon sticks, star anise, and cloves. Cook for 10 minutes, strain, and let it cool.
In a blender, add 1 cup of the tea, the pumpkin, coconut milk, cream of coconut, evaporated milk, condensed milk, vanilla, cinnamon, and pumpkin spice. Mix for 1 minute on high. Add the rum if desired and mix for a few more seconds.
Bottle the coquito in a glass bottle or serve immediately over ice and garnish. Buen provecho.
Notes
Pumpkin spice. To this coquito, I added pumpkin spice, but you can use a pumpkin pie spice or just allspice. This adds more of a fall flavor to the drink. You can also choose to leave it out.
Pumpkin Puree. I used canned pumpkin puree by the Libby brand, which I think is one of the best. You can use fresh pumpkin puree, just make sure to drain it well so you can remove all the excess water.
You can add rum or leave it out.
Always leave some space when filling your coquito bottle. This is because you always have to shake the coquito before serving.