Place a strainer lined with cheesecloth or a clean kitchen towel over a large bowl and carefully pour the curdled mixture into the strainer.
Gently squeeze to remove excess liquid, then discard. Transfer the curd cheese to a bowl and add pepper to taste. Mix the curd cheese well to obtain a creamy consistency.
If you wish, you can add chopped chives to decorate. Serve hot and enjoy your delicious homemade cheese soup!