Car Accident Compensation in New York If you've been involved in an accident, you might be eligible to file a car accident compensation claim. You may sue for economic and non-economic damages that exceed the limits of your insurance. However, there are certain things that could impact the value of your claim. If you have been seriously injured, you can file for damages in New York. Time frame for filing an auto accident compensation claim If you've suffered injuries in an automobile accident you could be entitled to compensation. But, you mu