Make a meringue batter by beating the egg whites and sugar until stiff. Preheat the oven to 450 degrees (220C), use your broiler if you have one.
With a small, sharp knife, cut a hole in each orange almost all the way through. Scoop or cut out most of the pulp inside the oranges, leaving them like round, orange containers. Fill the oranges with ice cream. Add a thin layer of meringue batter on top and put it under the broiler until it is crispy, but not burnt, 5 to 7 minutes.