Preheat oven to 375°F
Place all of the meatball ingredients, except for the olive oil, into a large bowl and use your hands to mix well.
Coat your hands with a bit of olive oil and roll meatballs into about 1¾ inch round meatballs. Note: Olive oil will prevent meatballs from sticking to your hands.
Grease a 13-inch round skillet (does not have to be cast iron) with 1 tbsp olive oil. Add meatballs to the skillet and bake for 17 minutes, then remove the meatballs from the skillet and drain off ½ the fat.
Place the skillet on the stove, add onions, garlic, and salt. Sautè for 3 minutes over medium heat or until onions are translucent.
Mix in tomato paste and Calabrian chili pepper, then stir in vodka. Cook for 5 minutes more to allow the alcohol to evaporate, then mix in crushed canned tomatoes, 1½ cups water, and cauliflower. Let simmer for 15-20 minutes.
Transfer to a blender, add ½ cup grated Parmigaino Reggiano and blend on high. Pour the sauce back into the skillet, stir in the basil, and add back the meatballs.
Serve with gluten-free pasta, polenta, or rice.