As an SO you hold a Hong Kong P2X rating. Thus, you are granted SO privileges on HKG-registered aircraft, and you can only operate above 20,000 ft. The endorsement for type is on your licence. The sim training is pretty much the same as you would get as a DEFO. How another country or airline would recognize this endorsement is up that airline or state...
To log time as an SO for further licencing with the HKG CAD, you can only log the time you spent in-seat. Again, what another airline would let you credit yourself for this experience is their business.