Burglars broke into a house in Kirtlington by reaching through the letter box to open the front door.
They then stole keys from a handbag and took a silver BMW 330D, registration OE56 WCO, from outside the house.
The burglary happened between 4.50am and 5.05am on Sunday in Bletchingdon Road.
Pc Mike West said: "A silver Ford Fiesta, registration L818 EKN, which had been stolen from the Gloucestershire area, was left outside the house. We think the offenders drove to the house in this car.
"We would like to hear from anyone who has any information about either car, or who saw any suspicious activity in the area."
Anyone with information should call police on 08458 505505 or speak anonymously to Crimestoppers on 0800 555111.
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