Place egg in a saucepan and cover with cold water. Bring water to a boil and immediately remove from heat. Cover and let eggs stand in hot water for 10 to 12 minutes. Remove from hot water, cool, peel and chop.Advertisement
Melt butter in saucepan, add flour until it forms into a ball. Slowly add the milk and stir until the sauce comes to a boil.
Stir the white pepper, salt, black pepper, and chopped eggs into the sauce; stir until the eggs are heated.