Just noticed that I had accidentally ended up in German language forum. Sorry for that. No idea how to move this to English side though (other than start a new thread there), so I'll continue here
When the Computer is up and running and I attach it to the docking station, it works just fine. Picture stays ok on the screen of the Computer itself and shows nicely on the external one as well.
If I do a cold boot or even hibernation and then press the power button on either the Computer or the docking station's one, all lights come up and it seems to start loading something, ie. the harddrive light lights up too. Just nothing comes up on either screen, both are totally black and the external monitor's powerled is orange, ie. not receiving any signal.
We had the same problem on Lifebook U727, but that was solved with BIOS-update.
Another peculiarity, maybe related maybe not, is that this wireless Microsoft keyboard and mouse doesn't work before I unplug the transmitter and put it back.
Hopefully these give more info and helps someone to come up with some idea what to test next.