The technology would allow the organic light-emitting diode displays to be folded and bent inwards, they said.
Samsung Electronics and Samsung Display have so far registered 30 related patents with the US Patent and Trademark Office, with 14 of them registered this year alone.
The patents have been either registered both at home and abroad or disclosed to the public years ago, suggesting that the tech giant and its affiliate have prepared for the launch of such models.
Bloomberg reported earlier that Samsung Electronics is considering introducing two new smartphone models as soon as next February when the Mobile World Congress takes place in Barcelona, Spain.
According to the report, one of the two devices folds in half like a cosmetic compact while the other device may unfold from a 5-inch form factor into an 8-inch one.