May I suggest you take a look here. I'm sure you'll find it interesting.

But my main purpose is to draw your attention to Annex A as this is a listing of organisations and individuals that submitted evidence for the report.
This means that those Healthcare Companies indicated, already have the all important UKBA sponsorship certificates needed for direct hiring. No harm in making contact to enquire about their recruitment status.

Do bear in mind though, that UK employment is still very depressed in these poor economic times, and any non-EU employment would be limited to those listed on the "shortage list" and at the salaries stated.

Hope it helps a little in you quest.
Good luck