Australian Pet Insurer Urged To Drop Premium Bills After Death Of Anim in In The News Posted November 20, 2014 I have been one of those people who had the unfortunate situation of my dog passing away 2 weeks after the policy rolled over (I will stop short of saying the vet actually killed my dog but thats a whole different story). They tried to keep charging me but I just told the credit card company what was happening and they stopped the payments to the insurer. Never heard anything else from them. My home phone, mobile, health insurance are all monthly and can be swapped at any time (after an initial set period) so dont see why dog insurance cant be the same. Its not like home insurance where you normally still have the house.