For the meatballs: Boil the chopped eggplant in salted boiling water for 4 minutes. Drain well and let cool. Squeeze out any excess water from the eggplant.
In a bowl, add the bread and milk. Allow the bread to sit and absorb the milk for a few minutes. Squeeze out as much of the milk from the bread as possible.
In another mixing bowl, add the eggplant and break up the bread into the bowl. Add the eggs, Pecorino, Parmigiano cheese, and salt. Then add the bread crumbs and flour. Cook's Note: If your mixture has a lot of moisture you may need to add more bread crumbs and flour. Mix well until all the ingredients are evenly distributed. With your hands, shape the meatballs into the size of golf balls. Dredge the meatballs in the flour.
For the tomato sauce: In a large saucepan heat up olive oil. Saute the onions and add the tomato puree and salt. Bring the mixture to a light boil, then turn the heat to medium. Add the meatballs to the sauce and allow to cook for approximately 15 minutes. Plate and add the Parmigiano cheese.