Does my AXA Smardrive Car Insurance cover me out of Singapore as well?

It depends on the plan you hold on to but the basic policy covers West Malaysia and Republic of Singapore including all the islands (anywhere you do not need to show your passport). if you transit by direct sea route across the straits between Penang and mainland of West Malayisa, this can also cover. Lastly, you are covered when its a direct sea route across the straits between Changi point, Singapore and Tanjong Belungkor, Johore Peninsular Thailand but this is subjected to 14 days for each travel trip.