You will be entitled to his insurance details and the police will have them. Why don't you cut out the middle man and contact them directly. Tell them that you could and may go to a no win no fee lawyer which would cost them an awful lot of money. If they are willing to settle honestly and appropriately you will deal with them direct. Don't take the first offer though, negotiate with them. They will have guidelines on how much they are willing to pay.
my car was rear ended and my insurance company were being dicks so I contacted the other parties insurance and dealt with them.