Your main problem is the simple issue that when BMW checked the car it was fine but when you next drove it you may well have clattered a kerb or pothole and knocked the alignment out.

Because of that you might as well just forget it and move on. There is no way you can prove that no damage was caused in everyday use after the BME check.

The symptoms were present from day one. The tyre specialist inspected all the mechanical bits and confirmed there was absolutely no sign of impact and in any case it would be extremely unlikely that all four wheels would be affected. BMW did not do any checks on the first occasion, simply a 400m road test and I've not been given any details of the second check. So I cannot accept your dismissal and fully intend to persue a claim.

Stivvy, i too think you are on a hiding to nothing here, though no harm is asking for a contribution to the costs involved, however i suspect if they offer anything it will be a vague promise of looking after you at the next overpriced service.

The dealership obviously got a half wit to check the car out, and the twerp didn't have a clue and could care even less.

I'd be inclined to vote with my feet and use the services of one of the very good make specific indies out there in future for any work that needs doing.