4. Crack the eggs into a large mixing bowl and beat lightly with a fork. Add the cooked rice, cooled onions, ground beef, the remaining 2 teaspoons salt, and the pepper. Gently stir the mixture until well combined.
5. Using a knife, shred some of the extra cabbage and arrange on the bottom of an 11-inch-by-17-inch roasting pan.
6. Heat oven to 350 degrees.
7. Make the rolls. Place a blanched leaf on the work surface. Add 1/4 cup of the filling in the center of the leaf nearest the stem end. Fold the sides of the leaf over, then roll up like a jellyroll. Repeat until all the filling is used. (If some of the leaves have tough middle veins, cut them out and place the filling a little higher on the leaf; sometimes the veins don't soften enough during cooking.)