Thanks for your effort. In a meantime I got some good news from the workshop. They seem to know what is wrong - it is a fuel injector.
After replacing all main units and creating doubled wiring to ensure there is no problem with any cable they replaced injectors and .... Eureka!

...they drove over 50 km and everything is fine.
Then they spent some more time to isolate problem (within four injectors) and they found that it was one of them that was faulty (of course that was the last they tested

) and was causing all that mess putting fuel on bypass and then shutting off the engine. Luckily my 2003 SantaFe is old enough to accept one injector to be replaced. As I was told all four injectors must be replaced in newer diesels as they are 'selected'. They are going to put everything together and check out again during a longer test drive but it seems that my Santa Fe comes back to papa next week.
Now, some info to share with you. As TS noticed there was no web info for Europe and diesel engines. However there is Korean site that might be interesting for you:
http://service.hyundai-motor.com/Tec...S/lts_main.asp
It is strange that it is neither listed by Google nor announced by Hyundai as it is in part available without any passwords. My problem is located in group 300 (fuel and engine), sub-group 353, OP Code 35310R00 - if you check NC CODEs there are both warning lights and engine stalling.
One more result of my research is VIN information website including all details of the car (options preinstalled, warranty record etc). I wonder if I can put it straight so I will send it to TS by e-mail
I will drop another post after all story comes to a hapy end. Or if it won't
And by the way: Happy New Year!
Rafal (Snake)