Preheat the oven to 375F.

To make the dough, combine the mozzarella and cream cheese in a bowl, and microwave it for one minute. Stir, then cook for another 30 seconds. Repeat until the mozzarella is fully melted.

Add in the almond flour, beaten egg, and pepper. Stir well to combine. Let the dough cool enough so that you can handle it, then knead until smooth. Add extra almond flour if it is too sticky to work with. 

Form a small ball and flatten it. Place a piece of string cheese in the center. Fold the dough around the string cheese and make sure all seams are joined. Place on a baking sheet lined with a silicone mat or parchment paper. Continue with the rest of the dough, forming a tree shape as you place the balls.

Roast for 10-12 minutes or until golden brown. Meanwhile, stir the Parmesan into the melted butter. When the bread has cooked, carefully transfer it to a serving platter, then brush each roll with the butter.

Sprinkle some finely sliced fresh basil over the top (and red pepper flakes if using), and serve warm.