Bring water and rice to a boil in a medium saucepan; cover. Reduce heat, and simmer 20 minutes or until liquid is absorbed. Cool slightly.
Melt butter in a nonstick skillet over medium-high heat. Add onions and garlic; sauté 2 minutes. Combine rice, onion mixture, milk, and the next 5 ingredients (through eggs), stirring well. Spread chutney in the bottom of an 11 x 7-inch baking dish coated with cooking spray. Carefully spoon rice mixture over chutney. Cover with foil coated with cooking spray. Refrigerate 8 hours or overnight.
Preheat oven to 350°.
Remove casserole from refrigerator; uncover and let stand at room temperature 15 minutes. Sprinkle with Parmesan. Cover and bake at 350° for 30 minutes. Uncover and bake an additional 30 minutes or until set. Let stand 5 minutes before serving.