Officers are warning residents to be cautious after two similar incidents of fraud in recent weeks.
In both cases, witnesses received phone calls about an ‘upgrade’ to their bank cards.
A woman in the Devizes area gave her address to a caller in one incident and subsequently got a visit from a man who asked for her to hand over her bank card.
The woman was hesitant to turn her bank card over, so first cut it in to pieces and then handed it over. The man then handed her a card that he described as a replacement, which she now realises is a fake bank card.
Sergeant Tracey Holloway said: “Fortunately, the victim in this case contacted the bank quickly and they cancelled her card.
“It is really important that people are aware of these types of scams – the scammers often target elderly, vulnerable people, so please share this information with your elderly relatives and neighbours so they are aware of the importance of not giving out personal details over the phone or to cold callers.
“Banks would never contact you in this way. If you are unsure, always hang up and contact your bank directly, or call the police on 101.”