Heat the oven to 400°F and line a baking sheet with parchment paper.
Place the brie round in the center of the sheet.
Spread the fig jam evenly over the top of the brie.
Sprinkle the chopped pecans over the jam.
Cut the puff pastry into thin strips and lay them across the brie in a crisscross pattern to resemble bandages, leaving a small gap for the face.
Brush the pastry strips lightly with the beaten egg.
Bake for 20 minutes until the pastry turns golden brown and the cheese softens.
Let the brie rest for 5 minutes before serving.