Heat oven to 350°F. Combine cheese, ham and green onions in small bowl; mix well. Beat eggs, milk, salt and pepper in medium bowl until blended.
Separate biscuits; press or roll each into a 5-inch round on lightly floured surface. Place 1 biscuit in each of 10 greased muffin cups, leaving the 2 cups in center of pan empty. Press biscuits firmly against bottom and sides of cups and form rim at top.
Spoon 2 Tbsp. cheese mixture into each cup. Pour in egg mixture, dividing evenly.
Bake in center of 350°F oven until filling is set and biscuits are deep golden brown, 20 to 25 minutes. Remove from pan; serve warm.