My policy expires and renews part way through a rental, am I covered? 24 June 2019 14:08 Yes, in the event of a claim, you'll simply need to provide both policy numbers. Related articles I've been charged 'Loss of Use' by the rental company, does my policy cover this? I have not taken out CDW with my car rental firm so if I have an accident I am responsible for the full value of the car. Is this covered by the Eversure policy?