Police said the crash happened at Main and Queen streets at around 6:37 p.m. Sunday.
At around 1:37 a.m. on Monday, Peel police said the Special Investigations Unit (SIU) had invoked its mandate.
The SIU said Peel police began following a vehicle, believed to have been stolen, along Hurontario Street.
In attempting to stop the vehicle at a downtown Brampton intersection, the SIU said the vehicle collided with two police cruisers and another car driving in the area.
The driver and the passenger in the suspected stolen car were investigated and then arrested, the SIU said. Peel police said there are no outstanding parties.
The SIU said a 46-year-old man, who was the passenger, was taken to hospital with a serious injury. Officials have not confirmed what type of injuries the man sustained.
“Understanding what transpired during the arrest is part of the SIU’s investigation,” Monica Hudon, a spokesperson with the SIU, said.
The SIU is an independent enforcement agency that investigates incidents involving police that have resulted in death, serious injury or alleged sexual assault.
Police said all roads including Main Street between Nelson and Wellington streets, and Queen Street between George and Chapel streets have now re-opened.