KK Pilot
I've not ever heard of CX hiring direct entry captains KK. That doesn't mean that they haven't or won't but right now I very much doubt if it is happening.
Regarding Singapore Airlines, they have been looking for Freighter Fleet captains, (B744) and they will provide a type rating as well as B777 Pax Fleet captains, again, they will provide the training. Suggest you telephone them in Singapore, (GMT +8), and ask to speak to flight deck recruiting who may be able to help. You may want to have a look at some threads in the Far East forum regarding SIA, the 'search' function will reproduce them for you, as there are mixed views about them as employers, it really depends on each individuals personal circumstances.