Mandurah Detectives are continuing their investigations after a number of serious incidents in Falcon in the early hours of March 3.
Around 12.30am, police were called to Lynda Street where a man in his 30's was assaulted and had property stolen.
He sustained injuries to his leg.
Just hours later, around 3.20am, police were called to the intersection of Lynda Street and Rakoa Street after reports a woman had been struck by a silver car and it had driven off without stopping.
She is undergoing surgery in Royal Perth Hospital for serious leg injuries.
The two incidents are believed to be linked.
Detective Sergeant Kris McDonald spoke to media in Falcon on Wednesday afternoon at the scene of an abandoned vehicle believed to have been used the hit and run.
"We've identified a suspect that we'd like to speak to, however we are maintaining an open mind in the investigation," he said.
"We've been able to establish a timeline... and a vehicle that we believe was involved in the incident.
"We're investigating a linked stolen motor vehicle."
Detective Sergeant McDonald said both victims of the assaults had been assisting police with their enquiries.
He added that he believed this was not a random attack.
"There is no risk to the community at this stage," he said.
"We are actively looking for this person to speak with them."
Mandurah Police also took to social media to appeal for help from the public.
Detectives would like anyone who may have witnessed this incident or have any information to contact Crime Stoppers at www.crimestopperswa.com.au or call 1800 333 000.
Anyone with CCTV or dash-cam footage in the area of Lynda and Rakoa Street between 12.35-3.30am are also asked to contact Crime Stoppers at www.crimestopperswa.com.au or call 1800 333 000.
