You need to seriously consider advise from Serendipity and busybird.

I work for a reputed Brand Name sponsored by a well know local company, also I have a few friends working in various companies, local and MNC. Working for the local, we all are at the whims of the sponsor and his cronies.

If you can get a chance, speak to employees of the company you want to transfer after working hours and get their feedback.

Nobody can tell you what to do, only give personal experience and advise.