Hi, first Thank you for answer,
I have been passed the last week search and look at websites, indeed I guess I had saw the sites of the main schools, I were using as reference the CAA document that contains a list of all approved schools at UK, you can find it at
www.caa.co.uk/docs/33/SRG_FCL_REGISTEREDFACILITIES.PDF .
After that I sent a email to those which seems to have the possibility to administrate Flight Instructor Courses, but till now I had received only answers from two schools.
Of course you can tell me, why don't you call there... ?, I still didn't do that because first I would like to know which are the appropriate schools to call, to prevent a call to all of them....

Finally to answer to your first question, the goal of this is to find one flight school at UK where it can be possible take the FI course and work there for some time until a change appearing to go inside a airline. I already have a fATPL/MCC from two months ago, however it seems to be not easy for someone like that to go inside a overseas airline company...