Koh Dong-jin, the president of consumer electrics company, has revealed that their new "holy grail" smartphone could be offered to customers next year.
However, this could be pushed back as there a number of hurdles to get past first.
Koh Dong-jin said: "As the head of the business, I can say our current goal is next year. When we can overcome some problems for sure, we will launch the product."
Samsung had previously unveiled their stretchable organic light-emitting diode (OLED) panel technology back in May.
A Samsung Display spokesperson told the Korea Herald at the time: "While current flexible OLED is able to be transformed in only one side, this stretchable OLED can be transformed - whether curved, bent or rolled - in both sides, above and below."
The screen was even able to be dented as well as being bent or rolled before it just sprung back to its original shape.
Samsung's most current phone is the Galaxy Note8, which promises perfect photos, fast downloads and high quality gaming.
They shared: "Get crisp photos even when it's dark and it's difficult to keep your phone steady. The Galaxy Note8's dual camera comes with great low-light capabilities that you've come to expect from Galaxy phones, while the telephoto lens gives you 2x optical zoom for you to capture the near and far. Both have optical image stabilisation so you get steady shots even when zoomed in ...
"Whether you're downloading games or multitasking, it's fast and seamless on the Galaxy Note8, because the high-performing 10nm mobile processor and 6GB RAM make things run smoothly. Plus, with wireless charging capabilities, power is on your side."