Preheat your oven to 425°F (220°C).
In a small bowl, mix together 1 tablespoon of sugar, cinnamon, and nutmeg.
Cut each apple into 8 slices. Sprinkle the cinnamon mixture over the apple slices, making sure they are well coated.
Roll out the pie crusts on a lightly floured surface. Cut each crust into 4 squares (you should have 8 squares in total).
Place 1 or 2 apple slices in the center of each pie crust square.
Fold the corners of the pie crust over the apples, sealing the edges to form a dumpling shape. Pinch the edges to ensure they are securely closed.
Place the dumplings on a baking sheet lined with parchment paper.
In a saucepan, combine 1 cup of water, 1 cup of sugar, butter, and vanilla extract. Bring to a boil and stir until the sugar is dissolved.
Pour the hot syrup over the dumplings on the baking sheet.
Bake in the preheated oven for 30-35 minutes or until the dumplings are golden brown.
Remove from the oven and let cool slightly before serving.