Your current insurer may let you reduce your cover and get a lower price simply on request.If you have a conversion option (see above) on your current policy, you can convert it to a new policy – maybe you don’t need so much coverage as you did (kids are grown up, the mortgage is smaller etc.), but you’d like a longer-term.But, if your insurer has told you “no dice” and you’re happy with all the steps above, and you still want to switch, well then, we should talk.