I doubt Singapore has much in the way of track. There's a poster on here who's from there and he orders things from Business Cycles.
Having lived in Malaysia for a while (right next door to Singapore), getting around on bike is not a very common thing. You're apt to see hundreds of scooters and cars, and plenty of people walking along Orchard Road but bike stuff is hard to find. It's been 7 years since I've last been so things might have changed, but I doubt it.
If you do find anything, please post. It'll be interesting to read about.