In a large skillet over medium heat, add the ground beef. Cook for 5-7 minutes until browned, breaking it apart with a wooden spoon.
Add the chopped onion and minced garlic to the skillet. Cook until the onion is translucent, about 3-4 minutes.
Stir in the dried thyme, Worcestershire sauce, soy sauce, salt, and pepper. Mix well and let it simmer for another 2 minutes. Remove from heat and let the mixture cool slightly.
Roll out the puff pastry on a lightly floured surface. Cut out circles using a 4-inch round cutter. You should get about 10-12 circles per sheet.
Place a tablespoon of the beef mixture in the center of each pastry circle.
Fold the pastry over to create a half-moon shape and press the edges together to seal. Use a fork to crimp the edges for a decorative touch.
Brush the tops of the hand pies with the beaten egg for a shiny finish.
Place the hand pies on a baking sheet lined with parchment paper and bake for 20-25 minutes, or until golden brown.
Once done, remove from the oven and let cool for a few minutes. Garnish with chopped parsley before serving.