Boil the rice in 800 ml water until soft. Drain and put into boiling milk. Pour the sugar, the butter and salt and let everything simmer until thickened. We remove the pan from the heat and when the milk with rice cool, add the eggs. Pour the mixture into a baking dish (a layer about 2 fingers) and bake in a moderate oven until golden. Cut the cake into diamonds and let it cool. Meanwhile boil the syrup. Let it boil until it thickens and vrelo pour syrup cake. Serve cold.