You are not the only foreigner, and Singapore unlike yesteryears they no longer have special preference with Malaysians.

You are competing with angmoh, Philippinoes, Indonesians, Thai, PRCs. Yes securing a job in SG in recent years is very competitive.

p/s: and to those who commented "u go there, ppl look down on u. oh look another malaysian accepting lowball offer"... look at the mirror and ask yourself if you are an elite. If only ego pay your bills...

Wouldn't be able to advise you specifically regarding Singapore yet, but in general I would prefer keeping a well updated profile in LinkedIn to actually using a regular job hunting database like Jobstreet.
I regularly receive many unsolicited requests for interview from headhunters and hiring managers just based on my LinkedIn profile alone. I don't think I've used Jobstreet for years...

How you define lowball? Fight for equal rights and get the same pay as Singaporeans?
Don't forget your employer still needs to pay your foreigner levy every month to keep you with the company.
And most executive positions don't get OT pay, be it locals or foreigners.

Much lower pay is subjective, If you are currently earning RM5k in MY to me S$3-4k in SG is reasonable.

Jobstreet is soo..... 2004? 
I find it useful for screening for junior/entry level staff but somehow headhunters and referrals from personal networks are usually more effective for experienced people, at least based on my personal experience.

Jobstreet didnt work for me either. What I did was I came up with a good cover letter and send it together with my resume to HR emails. Different cover letter for different organization/job.
You can get the emails through company websites under career/vacancy section or give them a call and ask to speak to any HR personnel.

Question to you: can you survive with RM2,200 in KL?

Many years ago I was earning RM3k, took up a job in SG at S$2k.

Rent $500
Meals $500
Transport $100
Phone and Internet $100

What else do you really need to spend on?

Even at $1.6k salary you save $400 per month. That is RM1,200 of savings if you want to calculate in MYR terms.
Earn RM2.2k in MY... can one save even RM500 per month?

if you are a relatively junior level executive desperate to get into Singapore ASAP I don't think you have any other choice except Jobstreet/JobsDB or cold calling your choice companies, but if you have the patience, spend a bit more time on your profile/CV and try LinkedIn. Another useful resource would be Glassdoor.
In all instances, having a well crafted resume makes you stand out from the competition.

I got my current job from Jobstreet.
My advise is if it is free, no harm clicking.
How long do you need to "waste" by just clicking apply?
Just because it is not favorable for others, does not mean it will definitely not be favorable for you.
Getting a job now is like striking the lottery, the more inroads you make, the higher the chances that one will lead you to your destination.

Yes they do because less hassle. I contacted almost 20 employers in Singapore and most of them do prefer PR/SGporeans. Only 2 to 3 of them willing to consider me which is great because I dont need 20 offers, I only need 1.

I'm not too sure about the number of people getting PR each year but they are not fighting for the same job. There are many new vacancies every week, keep trying.

Yes... and No. Some of my FT friends they have room mates to split the cost, on average $300 per month only. I also have a few FT friends who insist want to live a "better life" in SG, went ahead and rented condo units at $3k per month with lame reasons such as "wanna make use of gym facilities... swimming pool".

On average common room is around $500-700 per month. That is roughly the same as paying your car installment if you take in as dollar-to-dollar.

I always tell my new colleagues... first few years will be a little struggle.

Get $2,000 salary, rent $500 per month.
Next year get $2,000 salary, rent still $500...
3 years later get $4,000 salary, rent still $500 

So suffer a bit now and enjoy later.

if you are getting dollar to dollar pay my advice get it , then work hard to move above ranks .

Better still you can nego a higher pay, but that also depends on your qualification & work experience.

in SG major expenses for FT are rental .

Is deducted from your CPF (EPF) , it covers a minimum plan you can opt to upgrade but not out.

Suggestion is max out the premium on this insurance plan , then only think of buying another one in SG .

Just continue if can afford , the catch in these insurance is about age you won't be able to get the cheaper tier if you buy later and alot of clause maybe excluded situation such as :
- Border line issue with blood pressure -> Heart related and stroke have limited or coverage with loading
- Border line issue with Blood sugar -> Sugar related treatment not cover eg: Diabetes
- Unhealthy BMI - > medical re-examination , healt reassessment loading will incur 
- Smokers -> Lungs & heart may not be cover or limited coverage
- Drinkers -> liver & kidney related wouldn't or limited be covered

idea is take up young when you are healthy

If you are still looking for audit, definitely just send it to those audit firm' hr email.

You have plenty choices , just try !

Big4s
Midtier - RSM,BDO,Baker tilly, Moores stephens , Nexia TS , Mazars, PKF ,
Medium Small - Lo Hock Ling , HLB , and the list go on.