Cuccinelli's offices says the scammers pose as representatives of a medical alert company claiming to need your credit or debit card number and home address, so you can receive a free medical alert device.
The AG's office says the caller claims that the device is free, but says there is a monitoring fee for the service, giving the scammers access to personal and financial information.
A release said the Office of the Attorney General's Consumer Protection Section has received several inquiries from consumers who were suspicious after receiving such calls.
"If you receive a call from a stranger and you did not order a medical device-or any other product for that matter-- hang up immediately," Cuccinelli said.
If you have been targeted by this scam, call the Consumer Protection Hotline at 1-800-552-9963.