Sprinkle a little salt and pepper on the beef slices, and a dash of soy sauce.
Place six to eight of the green onion leaves along one end of a beef slice. Roll it up as tightly as you can, and secure with a toothpick that weaves in and out of the beef. Repeat for all of the other slices.
Put the rolls onto a griddle or in the skillet and sear all around until well browned. Reduce the heat to low and add the teriyaki sauce, bringing it to a light boil. Roll the rolls around in the sauce to saturate them thoroughly.