Samsung first unveiled the wrappable YOUM prototype that you see below in January 2013 - a year and a half ago. While the company is already producing flexible OLEDs, and have adopted one in the Galaxy Round, they have yet to release a product with a display that curves around the edges.
A curved OLED prototype device (Samsung)
According to reports from Korea, Samsung has now begun trial-production of panels that can be wrapped around edges (i.e. with a smaller curvature radius). They are still facing some technical issues with the plastic substrate, so real mass production is not expected soon. But Samsung may release a "technology-demonstrator" product, a limited-volume device just to show off the technology (as they did with the Galaxy Round).
