In a large mixing bowl, combine the ground meat with the egg, chopped onion, salt, and pepper. Place a couple of tablespoons of the filling on one side of the tortilla and press the filling into a thin layer. Fold the tortilla over to cover the filling.
Press a fork alongside the open edge of the tortilla to seal the filling inside. Repeat the process until all your tortillas are filled and sealed.
Preheat the oil in a skillet over medium-low heat. Fry the chebureki one or two at a time depending on the size of your skillet until golden brown on both sides.
Remove the cooked chebureki from the skillet and let them rest on paper towels to absorb the excess grease. Enjoy immediately!