In a medium saucepan, mix 2 cups water, rice and coconut milk, and bring to a boil over medium-high heat. Reduce heat and simmer uncovered for 45 minutes or until rice is tender, stirring occasionally. During the last 10 minutes of cooking, make sure to keep a close eye, adding extra water, 1/4 cup at a time, if the rice gets too dry.
When the rice is tender, add the salt. Simmer for a couple more minutes, or until pudding is desired texture. Taste and adjust seasoning. Spoon into individual bowls