In a large bowl combine ricotta, eggs, egg yolk, Parmesan cheese, 1/2 tsp salt, and 1/4 tsp pepper; mix well. Add 1cup flour, and stir just to combine and mixture forms a ball. (Mixture will be soft).
Dust baking sheets with flour, drop a half tsp or so of dough onto baking sheet in an oval shape. Replete will the remaining dough, (should make approximately 60) Lightly dust with flour.
In a large pot of boiling salted water drop about 15 dough balls, when they rise to the top, cook another 4mib and remove using a slotted spoon. Replete till all remaining dough balls are cooked.
In a large skillet over medium heat melt butter, add dumplings, parsley, garlic and remaining salt and pepper. Cook 5-6 min or until dumplings start to brown, stirring occasionally. Serve immediately with a little extra Parmesan cheese and or with a lite marinara sauce.