You need to be realistic about your job prospects here. First, big financial insitutions do not use recruiters for entry level positions - they recruit directly from universities and through a very structured application process, which begins with applicants submitting applications early in the fall of their senior year. New grads, in their first and second years out, are, in some institutions, also eligible for employment this way. You should do some research into these programs, and also contact your university's career services center for some tips, resume polishing (it should be absolutely perfect), etc. Even when hiring freezes are instituted, banks bring in new professionals through these programs each year. Also, note that new junior analysts typically start in September/ October with a class, to cut down on training costs, etc.
Second, be aware that a number of financial institutions, both large and small, have a hiring freeze in effect for non-essential personnel (including junior professionals that are expensive to train). Basically, unless they really need someone (say because a department head leaves and needs to be replaced), no one in HR or elsewhere is even looking at CVs. Also, even if people do leave, banks are looking internally to fill vacancies at the moment.
Third, you are competing with a number of laid off junior bankers with a couple years under their belt for the few junior positions that may become available. If you come across these positions, you need to be able to explain how you can differentiate yourself from someone who has some experience. HK financial institutions are also being flooded with resumes from London, New York, etc. at the moment, so you are not just competing with the local market.
Consider whether you have any experience (summer internship, etc.) in the finance sector. If you do, it will boost your prospects. If not, you'll have to work even harder at getting institutions attention by directly contacting them, etc. You'll need to sell how you can fit into a job without finance experience - which you should work into your CV and cover letter thoughtfully. You will also have to explain your lack of participation in summer programs for finance students, etc. to potential employeers. A good way to do this is to highlight something unique you worked on instead.
Finally, if you're considering just taking any old job, think again. Your current job will affect your ability to work in the finance sector later. If you're an insurance broker and next year send a CV out to banks, they're going to want to know why you're trying to make the industry switch. You will be competing for lateral positions with more qualified and experiencd banking candidates. Working in the finance department of a company (even a small company) is a good option if you can't find work at a bank. There is more movement back and forth between these types of jobs.
The fact that you're here and that you have a HKID are on your side, but unfortunately in this market, I'm not sure how much it will help.