Two years after purchasing my house, I finally got round this week to switching the home insurance to a cheaper deal (effectively halving my bill). I was dreading phoning up the old insurance company to cancel it, expecting the hard sell to keep me. I was pleasantly surprised that they did not bother and allowed me to cancel without even putting up a fight. Against the generally received principles of capitalism (at least prior to the recent problems) this actually gave me a rather favourable opinion of the company, and makes it more likely that I will consider them in future.
Of course, being a deal that was negotiated through the estate agents, perhaps they just realised they had got what they could out of me and were happy to move on to the next mug. Nevertheless, well done Groupama. Other companies would do well to consider your tactics themselves.