In order for insurance to cover an accident when the insured is not present, there will need to be comprehensive auto coverage. The facts of each such case definitely matter. If the driver is a relative, then most likely the absent insured’s insurance will cover the accident. The driver also needs to have had permission, express or implied, or the insured’s insurance may not cover the claim, unless the vehicle was stolen. Individual insurance companies and policies may vary in regard to these rules.
But liability coverage levels come in threes — you’ll probably see something like 50/100/50 up to 250/500/250 in typical policies. You can think of these limits like: individual injuries / total injuries / property damage. Insurers are a little more technical, calling them bodily injury liability, total bodily injury liability and physical damage liability.