The other driver blamed me for turning into him and then went a bit quiet when I pointed to the dashcam in the front window.
It's likely the insurance companies will agree a knock for knock as they don't really care who is at fault. I have obviously reported the accident to our insurer as I am obliged to do, it seems the taxi driver hasn't reported it and he hasn't provided me with any details other than his mobile number.
I am not making a claim on our policy, I have sorted a cash repair out with a local bodyshop at about the same cost as our excess. It will be repaired week after next.
My attitude is, it was an accident, these things happen, get it repaired and move on.