In the bowl of a large mixer, beat eggs sugar, salt and oil.
Sift the flour into the mix and beat on medium speed with a dough hook until you obtain a soft dough. Add more flour as needed a little at a time if the dough is too sticky.
Turn the dough out onto a lightly floured work surface and knead it until it is smooth.
Cover the dough and let it rest for 30 minutes.
Divide the dough into 8 pieces and roll into ropes (about ½ inch thick). Cut each rope into ½ inch pieces and roll the pieces in your hands (like you’re making meatballs) into little balls.
Toss a little bit of flour on the dough balls so they don’t stick while you roll the other pieces.
Heat oil in a large heavy saucepan to 350 degrees F.
Carefully add about 6 pieces of dough at a time and fry until they are evenly browned (about 3 minutes).
Remove the dough pieces with a slotted spoon and drain on a paper towel lined plate. Repeat process until you fry all the pieces of dough.