Yes I have tried Gulf Air, Qatar etc...
My friend is F/O on the A320 with Gulf Air , he had no type rating, but a lot of hours PIC on turbine. The only answer I got from those airlines is ''We require 500 hours on type''.
You should try to call or send an email to some airlines stating that you have a type rating, and you'll see that they all want hours on type. Furthermore, most of them prefer that you have done your course in a specified TRTO. The one in which I obtained my rating was cheap and not known, a Chief pilot told me that he had a bad experience with a pilot from the same TRTO....
Then if you're planning to try in Asia, it is not easier as we might think. India do not hire foreign pilots except if you have at least 500 hours on type, in China the CAAC limits the number of expat pilots and they only hire TRE/TRI at the moment.
In Thai, Malaysia etc... they give priority to cadets, then few of them use pilots from Eaglejet but it's frozen at the moment.
You have to be aware that a lot of pilots already type rated are willing to fly for free and/or pay in order to obtain the line training. It is a reality that I was not aware before starting my Type rating.
I am not proud of it but I had to pay my line training and believe me, the rating course was an easy game compared to the next.