A WA Police spokesman said the investigation remained ongoing because the whereabouts of Mr Turton was unknown.
“Police have been unable to locate or speak to the man believed to be involved,” he said.
“Anyone who has been a victim is encouraged to come forward.”
Perth victim Annabelle Morgan and another woman, who wanted to remain anonymous for safety reasons, had met at the airport to do the jewellery swap, handing over a $400 watch, pandora charms and a bag of costume jewellery.
Both women became de facto partners with Mr Turton after meeting him mid-last year on dating website Oasis.
The Mail has interviewed eight women, from Mandurah and Perth, who all said they had been duped by Mr Turton, after meeting him online, forking out cash for travel down-payments, events and flights.
In September, Ms Morgan said she was disappointed charges had not been laid against Mr Turton and guessed he “could be hiding out somewhere”.
“I’ve actually wondered what new name he’s using,” she said.
To many victims, Mr Turton claimed to be ‘Royal Caribbean cruise line commander Brad Collins’ and used a fake American accent.