Had the same thing with Direct Line few years ago, rung them back and said I could get it £200 cheaper.
They reduced their quote but I had already gone ahead with the new company. When I asked why the first quote was so expensive they said "its because of the introductory bonus, we give all new customers!"
So although they now have a years experience of your driving and hopefully no claims, plus all the details are set up on the computer, they still load your quote. I said you ought to have customer loyalty and encourage people to stay with you!!!!
Never been back to Direct Line!!!!