Pour milk, uncooked rice and salt in the top of a double boiler. Cover and cook for 1 hour, stir once to break up rice.
Beat eggs, sugar, vanilla, cinnamon and nutmeg until blended and pour into butter bowl.
Mix small amount of hot milk mixture into the egg mixture to temper. Then add all of the hot mixture to the egg mixture. Place bowl in a pan of hot water on the middle rack of your oven and bake for 1 hour at 350 degrees.