Dickon
Forget the type rating. It's not companies who call the shots now - it's the insurance companies.
A lot of insurance companies won't touch you unless you've done the FSi or Simuflite courses. They in turn won't touch you for a type rating until you've got 1000 hours.
There are other type rating providers out there, but even they get twitchy if you've less than the magical 1000 figure. I know, I looked into it (I'm in the same boat as you).
The only way they will even consider reducing the requirement (and it's only consider - there's no guarantee that they will) is if you get a lot of RHS time in a jet that's single pilot ops - with a pilot that's preferably an instructor. They're then looking for an endorsement from him that you're actually able to pass a type rating (read in U.S parlance ATP) check ride. And that's the skill level they're looking at - ATP with the accuracies that requires on test.
Since you are FAA licence holder your options are very limited in Europe, not just due to your low total time, but for the simple reason that US registered aircraft are quite scarse in Europe.
Are we living in the same Europe? In the course of my day job I see and work quite a few non-euro bizjets based over this side of the pond.
It's worth pointing out here that on an FAA licence you can also fly VP-B and VP-C. Both the Bermudans and Caymans will giive you a licence validation based on an FAA licence.