not very technical but neh mind...
ive been in this position wen i was a young un. any minor bumps and scuffs i had i would offer a cash settlement, or ask the owner of the damaged car to get a quote or two at a garage of there choice, id recieve the written quote and pay the bodyshop for the work. you could take it to Toyota bodyshop, get a super expensive quote, then say if he gives you the cash youll knock off £50.
if your happy with him paying for it, ensure you get all details,like reg, adress, name, phone num etc so if summet goes amiss you can get hold of him. if he doesnt fork out, you will then havehis details and can report him to the police.