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'm listed as an additional driver on a rental agreement, can I take out an Eversure Car Hire Excess policy? Does the European policy cover me for hiring in Israel? I have purchased a Single Trip policy, can I convert this to an Annual policy?