At around 9.35pm on Saturday, a black Volkswagen Golf and a black Vauxhall Corsa were involved in a collision on the IDR at the junction of the A329 and A33.
Both drivers sustained injuries to their neck, hip and lower back and were taken to hospital. They have since been discharged.
Investigating officer, PC Jamie Payne, of the Joint Operations Roads Policing Unit, said: “I am appealing for any witnesses to this incident to please come forward.
“I would also urge any motorists who have dash-cams and were in the local area around the time that this happened to review any footage in case it may have captured something that could assist in our investigation.
“Anyone with information can contact Thames Valley Police by calling the non-emergency number 101, or make a report online, quoting reference 43200376780.
“Alternatively, if you wish to remain anonymous you can contact the independent charity Crimestoppers on 0800 555 111 or online.”