You might see a lot of china sites here that do free shipping to Singapore. If you have an item in mind, be sure to check prices across these sites to get the best deal.
Mini in the box – A large online store from China selling a huge range of cool electronics and gadgets.
Price Angels – Another online store from China selling mainly electronics and gadgets, plus some other items like fashion and accessories.
Tiny Deals – China selling, similiar to above.
Deal Extreme – China selling, similiar to above.