There are several steps that you should take if you find yourself involved in a traffic accident. First, get help for any injured motorists. Time is of the essence when it comes to treating even minor injuries, and first responders can stabilize anyone has been seriously hurt. If it is safe to do so, move all cars to a safe place so they don't cause additional accidents. Be sure to get any contact information, including insurance information, from any other drivers involved in the accident. If there are witnesses at the scene, collect their contact information as well.
In many cases, the police will come to the scene of an accident and take a report. Avoid admitting fault to the police. Simply state the facts of what happened and do not volunteer additional information. It is important not to discuss the accident with the other driver or any witnesses at the scene. People will often say seemingly innocent things like, "wow, I didn't even see that stop sign," or "I'm sorry, I must have not been paying attention," to the other driver. This will be used against you later to determine that you were at fault in the accident and thus not entitled to financial compensation.
If the other driver's insurance company calls you or offers you a settlement, discuss it with your Galveston personal injury attorney first. Allow your attorney to talk to the other insurance company on your behalf.