The car was discovered abandoned on Sheppard Pl in St Albans about 8.05am.
“Staff immediately conducted area inquiries to find the man, however, he has not been located at this stage,” police said.
They said the officer’s ID card and a petrol card were stolen but no other police equipment was taken.
A police spokesperson said there was no update on Sunday morning.
The vehicle was to be towed and forensically examined.
“During the pursuit of the vehicle, two patrol vehicles also collided at the intersection of Straven Rd and Rata St,” police said.
“There were no injuries. The patrol cars sustained moderate damage. An internal investigation is now under way to determine the full circumstances of the incident.”
Police are urging anyone with information to call 105 or give information anonymously through Crime Stoppers on 0800 555 111.