Abstract: A beverage brewing machine including a reservoir for holding cold water, an electric heating unit which during operation heats the cold water to produce a brewing water, and a brewing unit. The brewing unit has a receiving chamber for receiving a filter insert into which product is placed. The filter insert has a water-permeable wall. The receiving chamber has a collecting groove which receives water and delivers the received water to the outside of the water-permeable wall when the filter insert is resting in the receiving chamber so that water flows through the sidewall into an upper portion of the product in the filter insert. The reservoir includes a first water outlet through which a portion of the brewing water is delivered onto the top of the product in the filter insert, and the reservoir includes a second water outlet through which another portion of the brewing water is delivered to the collecting groove and from there through the water permeable wall of the filter insert.