Hi
You have two issues here:
A) The contractual relationship between your employer and the client
B) The immigration position w.r.t. you getting re-sponsored.
To take (B) first, you can certainly get re-sponsored if a suitable UK company (ie almost any genuine established UK company that is not just a '1 man band' contractor company) offers you a job and will go through the needed process (ie call
**deleted** and get them to handle it)
Regarding (A), I think this simply says that under the present contractual terms, you are not an employee of teh client and can not pretend to be one. This does not mean that at a future time you could not be hired by the client and become their employee.
I hope this helps
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EDIT : I am reasonably certain that the original information provided was not the URL I just deleted. While I certainly appreciate the humor in it, I wish rather to just correct policy misunderstanding, not create harsh feelings. Thank you "Anonymous Mod" for your catch on this one!
The Admin]