The Journal also said that the handsets are 'in the last phase of development', and the devices are expected to be released in the first half of next year.
According to the Telegraph, using a plastic polymer instead of glass, Samsung has produced displays that can roll and bend, and survive falls and blows from the clumsiest of customers.
Samsung is seeking to differentiate itself from other mobile brands in an increasingly cutthroat marketplace, and flexible displays could boost their profile by offering a unique product, the report said.