In a bowl, combine shredded cheese and cream cheese until creamy.
Fold in breadcrumbs and season with salt and pepper.
Shape the mixture into small balls, about 1 inch in diameter.
Beat the egg in a separate bowl.
Dip each cheese ball into the egg mixture.
Roll the balls in breadcrumbs until fully coated.
Heat oil in a deep pan over medium heat.
Fry cheese balls in batches for about 3-4 minutes until golden brown.
Remove and drain on paper towels.
Serve warm with your favorite dip.