Score the chestnuts crosswise and roast them in the oven at 200 degrees for about 30 minutes until the shell opens slightly. Put a saucepan with water in the oven so that the chestnuts don`t dry out. Now peel off the peel and the bitter skin underneath with your fingers.
Put the herbs, cream cheese and chestnuts in a tall container and use the hand blender to make a smooth paste. Stir in the oil and the grated lemon zest. Season to taste with balsamic vinegar, salt and pepper.