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Add butter to a large skillet. Set aside.
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In a shallow pan, like a 9x9 casserole dish, add in the eggs, milk, and nutmeg. Whisk until mixed.
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In another shallow baking dish or plate, add the granulated sugar and cinnamon and mix together. Set aside.
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One at a time, use a rolling pin to flatten the bread to ¼ inch thickness. Spread on cream cheese and add a little extra to the other side of the bread and top with blueberries. That allows for the roll-up to stay rolled. Repeat with the remaining slices of bread.
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Dip the rolled up bread into the egg mixture and place into a skillet. Working in batchs, place the roll-ups into the skillet - about 3-4. Allow each side to cook for 1-2 minutes or until browned. Roll each roll-up into the cinnamon-sugar mixture.
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In another shallow baking dish or plate, add the granulated sugar and cinnamon and mix together. Set aside.