Heat oil in a skillet and saute the carrots, onion
, and garlic until al dente
. Add ground beef
and brown. Drain
fat from pan and season with salt and pepper and jerk seasoning
. Stir in tomato paste to bind mixture, and let cool.
Preheat oven to 375 degrees F.
Roll out puff pastry
dough and, using a circle cutter, cut out 16 to 24 (3-inch) diameter dough circles and place on a lightly greased baking sheet. Place a spoonful of meat mixture on 1 side of each pastry circle. Fold each into a half-circle and seal edges by pinching the dough
together. Brush surface of pastry with egg wash
. Bake until golden brown, about 6 to 8 minutes.