Cut off the crusts of each piece of bread. Flatten bread with a rolling pin or side of a smooth cup. Spread each slice of flattened bread with one teaspoon (or more!) of Nutella, covering the entire surface of the bread.
Roll the bread up tightly, sealing shut with a dab of Nutella.
In a bowl, whisk the egg and milk until combined. In another bowl, combine the sugar and cinnamon and mix well. Heat 2 TBSP butter in a skillet.
Dip each Nutella roll in the egg mixture until coated, then place in the hot skillet. Gently roll the Nutella rolls with a tongs or a fork while cooking to brown all sides.
Remove from skillet and immediately roll in the cinnamon sugar mixture. Serve immediately.
Be careful not to burn the butter before cooking the Nutella rollups. Any type of bread will work with this recipe.