Simmer the fish in milk on low heat, until firm. Set aside, discard the milk and allow the fish to cool at room temperature.
Melt the butter in a large frying pan and add the rice. Stir gently and gradually add the stock. Continue cooking until the stock is fully absorbed by the rice.
Add the fish and mix it with the rice. Season with salt and cayenne pepper.
Mix the 2 eggs and cream in a bowl. Add the mixture to the pan and continue to cook on low heat, stirring gently, until the egg is cooked.
Serve hot, garnished with slices of boiled egg (optional) and fresh parsley.