You can try and see if the at fault party in the accident has insurance. If you find out that he does not have insurance then you will need to either go through your own collision coverage or go after the at-fault party personally for the cost of repairs.

The Texas Department of Insurance says that if after an accident the other driver refuses to tell you his or her insurance company, get a copy of the police accident report. The accident report should list the other driver's name and insurance company.

If the police did not investigate the accident, you can report the driver's refusal to give you their insurance information to the police. This could result in a report identifying the driver's insurance company. In addition, the Department of Public Safety keeps files of forms - called SR-22s - that show the insurance companies of people convicted of DWI or driving without insurance.

The DPS will advise you how to find out if the driver has an SR-22 on file and the name of his or her insurance company. You may also request the information by calling 512-424-2600.