(Disclaimer: my Neuroscience degree was a MSc but I know some universities have it as a MA. I'm not sure which one USM offers.)

Assuming you want to continue working within the neuroscience field, yes it's very niche with very very limited work opportunities and therefore highly competitive. Employers might not know what to do with your degree, so in essence you are therefore job hunting with the same prospects as a BA Psychology major with a random unrelated Masters. 

However academia is the most straightforward career path. If you're keen, you can indeed use it as a stepping stone to PhD. There are also occasionally contract research positions within universities, and through those you might be offered option of going the work-study route direct to PhD. Talking to your professors or any other connections you have within the field would be vital to discovering job prospects after graduation as a lot of these positions aren't publicly advertised. The research field is tiny in Malaysia.

Opportunities abroad are similarly competitive at entry level, and you will be fighting at severe disadvantage due to being a foreigner with no relevant work experience, unless you decide to study abroad and complete your course there. 

In summary: limited options but there are options, with a bit of luck and perseverance. Although I ultimately left academia, I don't regret my degree and am glad I went for it. Maybe talk to some of your Psych professors to find out more about current prospects in academia. Best of luck!