The crash saw three people suffer serious injuries.
The incident took place on Wednesday at about 7.10pm just south of the junction of the A361 and Chipping Norton Road.
A green Ford Fiesta and a blue Ford KA were involved in a collision.
The passenger in the Fiesta, a 24-year-old man, sustained serious injuries and was taken to hospital for treatment where he remains in a serious condition. The driver of the Fiesta, another 24-year-old man, also sustained injuries and was taken to hospital where he is in a stable condition.
The driver of the KA, a 58-year-old woman, sustained serious injuries and was also taken to hospital where she remains in a stable condition. A 15-year-old girl who was the passenger in the KA sustained minor injuries and did not require hospital treatment.
No arrests have been made.
Investigating officer, PC Andy Wickens of the Roads Policing Unit, said: “I would like to speak to anyone who saw this collision, or who has any dash-cam footage which could be relevant to our investigation.
“If you do, please call us on 101, quoting reference number 43210416549, or make a report online.”