The force said they had a report over the weekend of a theft in the area which involved a man distracting the woman by telling her she had damage to her car.
While she was speaking to him, another man entered the car to steal her handbag.
A Police Scotland spokesman said: "We've had a report of a handbag theft over the weekend in Milngavie.
"A male had approached a female whilst she was getting out of her car and advised of damage to the vehicle.
"Another male has then entered into the car and removed her handbag and contents. Please make others aware."
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