Q:
Is it possible for one to have a Master card in China that can be use on the Internet?

A:
not sure, maybe yes.
but you have to apply for this kind of service in the bank.

A: (from David W Chu -New Zealand)
Normally most of the C/Cs are accessible on the net, however some of the pay-online websites are subject to the terms and conditions which only accept C/Cs issued by foreign banks rather than the ones from domestic commercial banks.