I was involved in a traffic accident 1 year ago and here is the scenario. I was the 1st car and had sought damages from the 2nd car which is a taxi. The police report and other evidence confrim that the taxi was in the wrong.
However, the taxi company, until today, refuses to pay me until they have sought damages from the 3rd car. The problem is that the 3rd car is disputing the claim by the taxi company against the 3rd car and thus prolonging the case.
My car is covered comprehensively by another insurance company (not yours).
I am not sure why you are having to do all these yourself. You should have claimed on your own motor insurance policy, and let your insurers sort it out.
You should seek independent legal advice if you feel strongly about this.
As importantly, since you are not insured with NTUC Income, please consider doing so.
It is normal for taxi companies to defend such claims aggressively; this is part of their strategy to mitigate the risks they are exposed to.
Some such cases can take years to resolve so it is better to let insurers with the necessary expertise in handling such claims sort it out.