Samsung was issued a patent for quad-curved screen design - one where the left and right sides as well as the top and bottom sides are curved, leaving bezels only on the corners of the phone. This patent was filed in China back in July of last year and was added to the World Intellectual Property Office (WIPO) this March. The bezel on the corners will likely remain even in future designs - the corners are the most vulnerable in case of a drop, so they need the extra protection metal provides. But quad-curved displays also complicate the placement of various components, even the USB...
Source: https://www.gsmarena.com/samsung_gets_a_patent_for_a_quadcurved_screen_that_leaves_little_room_for_buttons_and_ports-news-42491.php