Well, they just lost against VfL Osnabrück (3rd league) in the German Cup.
Awesome game. Osnabrück was leading by 2:0 until 15 minutes from time, then got the 2:1. In the 92nd minute, one of their players (who had been in the game for just a minute) caused a completely unnecessary penalty, leading to 2:2.
In the 100th minute, HSV scored the 2:3. But in the 117th minute, Osnabrück equalized. HSV then lost the resulting penalty shootout.