Add drained garbanzos, eggs, salt and water to a blender and process until very smooth.
Scrape into a bowl, add flour, and mix with hands until you have a nice, pliable ball. You may need to add a bit more water or flour to get the right consistency. Knead a couple of times until smooth
Divide dough into four pieces. Roll each into a 1/2-inch thick rope.
Sprinkle ropes with flour. Cut into 1/2-inch pieces.
Roll each piece down a floured gnocchi board. Simply use your thumb to press the piece against the board as you follow it down. Alternatively, press each piece against a fork or cutting board as you roll it.
Boil a gallon of water. Add some salt. Add gnocchetti to boiling water, return to boil, and cook about three minutes. Taste: they should be cooked through. (You can toss with olive oil and let cool, then refrigerate the gnocchi for up to a few days. Reheat as needed).
Remove with strainer and add to sauce. Serve warm with grated cheese.