This cover is mandatory in India under the Motor Vehicles Act, 1988. This cover cannot be used for personal damages. This is offered at low premiums and allows for third party claims under “no fault liability. The premium is calculated through the rates provided by the Tariff Advisory Committee. This is branch of the IRDA (Insurance Regulatory and Development Authority of India). It covers bodily injury/accidental death and property damage.
Comprehensive insurance covers all of the above and damage to the vehicle caused by the driver themselves, as well as vandalism and other risks. This is usually the most expensive type of insurance. It is custom in the UK for insurance customers to refer to their Comprehensive Insurance as "Fully Comprehensive" or popularly, "Fully Comp". This is a tautology as the word 'Comprehensive' means full.
Liability auto insurance protects you from that worst case scenario by providing a cushion between your assets and the amount you’re on the hook for. For this reason, choosing the right auto liability limits is the most important part of your car insurance quote comparison. NerdWallet typically recommends having at least as much liability coverage as your net worth.