Do We have legal grounds to sue the other party for damages

My father involved in an accident in Loudoun County. He was making a left turn on a green arrow at a major intersection. He was struck by an oncoming car from the opposite lane. Car was damaged with loss of bumper and knocked out tanks that seem like water or washer fluid. Police arrived and gave a paper to my father with the other driver's information and on the paper also noted that the other driver is being charged with Reckless Driving. Father was taken to the hospital. Contacted insurance, lawyer, waited for official police report. Police report came but did not sure either party charged and the report had the opposite story on it. Received a letter from other insurance company a couple days ago stating other party wants to fight citation. The other insurance company want to inspect my father's vehicle for damages.