Upvote:0
Every Border i have ever crossed in a car has had an insurance broker at the border. You can usually buy 7, 14 or 30 days insurance and it costs next to nothing.
I must have done 30 border crossing but i have never driven a foreign car in Singapore.
Upvote:1
Since your car is entering Singapore directly via ship, I would strongly recommend you contact the company you're using to ship the car over: they will likely already have arranged this, or at the very least can point you in the right direction.
The one complication is that you're effectively only trans-shipping your car through Singapore, since you're heading straight to Malaysia. Have you considered having your car shipped to Malaysia (eg. Tanjung Pelapas, a major port right across the border) and then daytripping from there, or better yet, leaving the car in Malaysia and just visiting by public transport? I suspect this would be considerably cheaper and easier.