I have the same problem with a 2930 Tefal Pro Express steam generator.
I found that after leaving it on for 45 to 60 minutes it does produce steam when the iron button is pressed. Not much use for a claimed 2 minute to produce steam.
Try this and let me know if it does! If it does I let you know what I did.
These blighters can, according to Tefal, only be repaired by Wykes Electrical in Birmingham. I did replace the lead on another 2930 which still works OK.
Dewi Lewsi
April 2006