If you're in an accident with an uninsured driver, be sure to get all of his or her contact information. Uninsured motorist coverage helps pay for damages if you're involved in an accident with a driver who does not have bodily injury liability coverage.Having this coverage could help pay for damage to your car and any injuries if another driver hits you and can't cover the expenses. Driver Report of Traffic Crash (Self Report). Driver Exchange of Information. With it, you can receive compensation for auto accident damages. A San Antonio uninsured car accident lawyer with Ben Crump Law, PLLC can provide you with legal counsel while helping you secure the compensation you deserve. To schedule a free initial consultation with one of our experienced San Antonio accident attorneys, call 210-610-8545, or fill out our online contact form. File a lawsuit against the uninsured driver: Sometimes filing a suit with a San Antonio auto accident lawyer is your best course of action. Find out typical traffic accident settlement ranges and learn how to maximize your compensation with expert advice.