Two elderly shoppers had their purses stolen in broad daylight in separate incidents in the city centre.
Women aged 74 and 77 had their possessions taken on Wednesday afternoon in the Murraygate.
Officers are keen to speak to a male, described as being around 40-years-old with short light brown hair in connection with both incidents.
The male is further described as being around 5ft 8in and was wearing a light coloured short sleeve top and blue jeans at the time.
Police are reminding people to remain vigilant when it comes to having their wallets and purses on display.
A spokesperson for Police Scotland said: “People with handbags, or indeed shopping bags, should never let them out of their sight and they should try to be aware of the people around them at all times.
“Handbags should be kept secured, with their contents hidden from prying eyes.
“It is important that bags are not left hanging at their owner’s back or side, on or within pushchairs, or hooked onto shopping trolleys. Ideally, they should be kept closed and placed against the front of their owner’s body.
“In addition, shoppers should not take more money than they need when shopping. Expensive items should be left at home, rather than carried in a purse or handbag.”
Anyone who may have witnessed either incident, or has information regarding the male officers would like to speak to, can get in touch with police by calling 101.
Alternatively information can be passed anonymously via the charity Crimestoppers on 0800 555 111.