Heat oven to 400 degrees F. Cover a baking sheet with parchment paper. Place puff pastry on the covered baking sheet and unwrap. Optional: using a cookie cutter, cut out shapes to top your baked brie. Cut off the end of the puff pastry with shapes cut out and discard.

Place brie on puff pastry in the middle. Add 3/4 to one full bottle of fig spread on top of the brie. Wrap the puff pastry and seal any open sides. Add cut out shapes on top.

Mix egg and water in a small bowl. Using a pastry brush, brush egg wash on puff pastry. Bake for 25 to 30 minutes until golden brown. Allow the baked brie to rest for 15 to 20 minutes before cutting open and serving.