Cut round steak in serving size pieces; brown each piece in large fry pan, using no oil or grease. Add onions and brown: sprinkle with oregano & paprika. Cover bottom of pan with water: cook at medium heat. covered for at least 1 ¼ hours, adding additional water when needed.
Mix cornstarch and cold water to thicken juices if desired.
Place slice of cheese on each piece & replace cover: continue heating until cheese softens.
