i met an accident some days back.
i noted down the number of the taxi.
i only had a third party insurance so my insurance company is not liable to make any payment to me.
now what should i do to claim payment of the dents and damages from the taxi owner?

In my opinion you should go to a advocate and he might be able to advice you well if there is a police case you should get legal help and he will take care of the claims and the rest. Good luck hope it will fix your problem.