Samsung's upcoming flagship smartphone will be available in two versions, with one sporting a dual curved-edge display which covers the front, left and right sides of the device, while the other will only have a standard non-curved front-facing display, according to a Bloomberg report.

Both devices are expected to have all-metal bodies as well as 5.1-inch screens, and will be powered by Samsung’s most advanced chipsets. The handsets were originally supposed to be powered by Qualcomm's Snapdragon 810 chipset, but the South Korean company reportedly ditched the SoC after detecting overheating issues during its internal testing.

Just last week Samsung issued press invitations to its next Unpacked media event which is scheduled for March 1, a day ahead of the annual Mobile World Congress (MWC) trade show in Barcelona, Spain.

The invitations featured an image of a curved line that clearly resembles the shape of the Note Edge, which was unveiled in September last year and became the company's first device to sport a multiple-sided screen, although its sloping display bends only on one side. It was recently revealed that 630,000 units of the device have been shipped since its launch.

The Bloomberg report also notes that both versions of the upcoming flagship, likely to be called the Galaxy S6 and S6 Edge, have been developed under the codename of Project Zero, and are expected to be unveiled at the March event.