A re-usable shopping bag was stolen from a car in Barton Mills.
The owner returned to their home in Newmarket Road to find their house and car had been searched after both were left unlocked.
The incidents occurred between 9.30am and 11.30am on Sunday, September 29.
Police said the only item to have been stolen was a reusable shopping bag from inside the car.
Anyone who believes they may have seen any suspicious activity in Newmarket Road on Sunday is asked to call the Bury St Edmunds Priority Crime Team on 101 or Crimestoppers anonymously on 0800 555 111.