Combine water and salt in a medium saucepan; bring to a boil. Stir in grits; cover, reduce heat, and simmer 5 minutes or until grits are thickened, stirring often. Gradually stir about one-fourth of hot grits mixture into eggs; add to remaining hot mixture, stirring constantly. Stir in ham and green onions. Set aside.
Position knife blade in food processor bowl; add beans and 1/4 cup salsa. Process until smooth.
Spoon 1/3 cup grits mixture into each of 6 (10-ounce) ramekins or custard cups coated with cooking spray. Spoon bean mixture evenly over grits; sprinkle with minced cilantro and pepper. Spoon remaining 3/4 cup salsa evenly over servings; sprinkle cheese over salsa. Spoon remaining grits mixture evenly over cheese. Bake at 350° for 30 minutes or until lightly browned. Let stand 15 minutes before serving. If desired, garnish with tomato slices and cilantro sprigs.