The car, along with another American car, had been parked up in a locked garage on a vacant rental property which is up for sale. The gates to the property had been padlocked.
It was discovered stolen on Thursday and police were notified.
Tilley said neighbours reported hearing noises and the car was seen being hooked up to what was described as an old-style green Land Cruiser.
There were possible sightings of it at other addresses in Gisborne.
Police told the Gisborne Herald inquiries were continuing.
“We’d like to thank those members of the community who have already been in touch with us regarding possible sightings,” a spokeswoman said.
“We ask that anyone else who has information which might help us locate the car and return it to its rightful owner to contact us via 105, quoting file number 260507/7177.
“Information can also be provided anonymously via Crime Stoppers on 0800555111.”