Bring the water to boil. Add the oats and the salt and reduce the heat to a simmer. Cook, stirring often, until the oats are thick and creamy, about 10 to 15 minutes. Stir in the pumpkin pie spice, pumpkin puree, heavy cream and brown sugar. Remove from the heat and stir in the vanilla extract.
Place the oatmeal in oven-safe bowls (or you can use hollowed out pie pumpkins like I did!). Top with the brown sugar brulee paste. Broil for 2 to 3 minutes (or longer, depending on your broiler), watching the entire time to make sure it doesn't burn. Top the oatmeal with the roasted pepitas and pecans. And an extra drizzle of heavy cream if desired!
Just a note, if you want to use the pumpkins like I did, I did bake the oatmeal in the pumpkins for about 20 minutes or so and then did the broiling. Definitely not necessary, but cute if you want to take things over the top!