About 9.20pm, police were called to a carpark on Canterbury Road, Campsie, where they found a 27-year-old man with gunshot wounds to his head and chest.
He was treated by NSW Ambulance paramedics before being taken to hospital in a serious condition.
A short time later, emergency services were called to Kilkee Avenue, Kingsgrove, where they found a car on fire.
As inquiries continue, police are urging anyone with CCTV, dashcam footage or information about either of these incidents to contact Burwood police or Crime Stoppers on 1800 333 000.
Witness appeal in shooting, car fire
A MAN was in a serious condition after he was shot in Campsie last Tuesday night.