Can the insurer's insurance deny an auto accident claim if they were hit from behind but the police report states it was their fault in Alabama?

The report states it was who's fault? The rearender I presume? Yes, they can deny it for other reasons, (they must supply you with the exact reason a claim is denied in writing, if you don't have this request it immediately). It could be denied for a variety of reasons, such as the policy was lapsed and not in force at the time of loss, the driver was excluded, etc, they may not be denying it based on the facts of loss, but the conditon of the policy at the time of loss. If that is the case that doesn't obsolve the driver/owner from ''making you whole'' again, if you have collision coverage, your company will pay then go to them for repayment, including your deductible, if you do not have collision coverage, and they are clearly At Fault file a state report (contact your states DMV for the form), and/or file a small claims action, once you get a judgment you can file for a garnishment...If you could let me know the reason for the denial then I could be of more assistance to you. Also if you were at fault (on the report) and will let me know the reasons I could also try and help, police officers are human, and can make mistakes, (check the wrong box), and you could ask to have the report reviewed by a superior officer.