An update about this problem: As previously said, it was a faulty ABS sensor which activated the brake warning lights. However the EML (SES) light is still on. At that time, the local BMW dealer said that there weren't any error codes...

I went yesterday to another dealer (non BMW), he connected the scanner and found two codes: the one for the faulty ABS sensor (he cleared it) and another for a incorrect supply voltage to the throttle body. This would be this last one which drives the EML light... I'd wish to replace the throttle body however 2 questions make me hesitate:
- The engine is running very well, without any loss in power or any misfire, this is just that the EML light is on all the time.
- When I start the engine, it generally come into limp mode. I have just to stop it, wait for 10 seconds and it starts and runs fine! (EML light still on though).

Does someone has an idea why I need these 10 seconds to clear the limp mode?

Thanks once again,
JL