Heat oven to 400° F. Heat oil in a large nonstick skillet over medium heat. Add onion and cook, stirring occasionally, for 5 minutes. Add curry powder; cook 1 minute. Stir in ground beef, thyme, allspice, salt and pepper. Cook 5 minutes, breaking meat apart with a wooden spoon. Stir in broth and bread crumbs; cook 2 minutes. Remove from heat.
Unroll crescent dough. Cut each piece crosswise into 3 (8 x 4-inch) pieces, for a total of 6. Roll each piece out slightly. Place 1/2 cup of filling on one half of one piece. Fold dough over to enclose filling. Press edges to seal, using a fork. Transfer to a large baking sheet and brush with a little of the egg. Repeat with all the pieces of dough.
Bake at 400° F for 15 minutes or until golden. Serve warm.