Rinse rice under cold water to remove excess starch.
In a medium saucepan, combine the rice and 2 cups of the coconut milk. Bring to a gentle boil over medium heat.
Once boiling, reduce the heat to low and let the rice simmer, stirring occasionally to prevent sticking. Gradually add the remaining 2 cups of coconut milk as the liquid absorbs, about 15-20 minutes.
When the rice has reached a creamy consistency, stir in the maple syrup, vanilla extract, ground cinnamon, ground nutmeg, and a pinch of salt. Stir until the pudding is smooth and well combined.
Remove from heat and let the pudding cool slightly. Serve warm or chilled! Top with your favorite add-ons like fresh berries, shredded coconut, or chopped nuts for added texture.