Thaw puff pastry according to the instructions on the package.
Make an egg wash by beating the egg with the water in a small bowl.
Unfold the puff pastry and roll it out with a rolling pin on a flat floured surface. We want to stretch it out about 1 inch (2.5 cm) on all sides.
Cut the puff pastry into 4 big squares and place 1 tbsp of arequipe in the center of each one. Brush the edges with the egg wash and fold over to form a triangle. Press the edges with your fingertips to seal them. You can also seal them with a fork. Make a few cuts on top of each turnover with a knife. Brush them with the egg wash and then sprinkle with the sugar.
Place the turnovers on a cookie sheet covered with parchment paper and bake for about 20 minutes or until golden brown. Let them cool for a few minutes before serving.
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Notes
You can sprinkle white granulated sugar or turbinado sugar on top of each turnover.
Making a few slits on top will allow the steam to escape. This will help the arequipe to stay in place.