working visa in a different country than citizenship country

Jean, you could try the following steps. First, try to convert your X type into the work Z type at the exit and entry administration in mainland. If your application is approved, then it will be best. If not, please proceed the following step, that is, inquire the Commmissioner Office of PRC Foreign Affairs Ministry about whether you can apply from Hong Kong. If they say yes, just go to HK and apply for the Z type. If they say no, try to contact some agencies in HK and see it they can help you to get the Z type. In case that both ways are not feasible, you have to go back and do the application in your country or nearby countries.