Put 2/3 cup water and rice in a pan and bring to a boil. Reduce heat to a simmer and cook, covered, stirring occasionally, for about 10 minutes until all of the water has been absorbed.
Add 2/3 cup of the milk and simmer until all the milk has been absorbed. The rice will still be hard.
Preheat oven to 350 F. Spray a casserole dish with non stick spray (or grease with butter).
In a bowl, beat together the remaining milk, eggs, sugar, flour and salt to form a batter. Add rice and stir to combine.
Transfer to prepared baking dish. Bake in oven for 30 minutes, until the top has turned golden brown.