Embodiments of the present disclosure can significantly reduce the non-display area of a flexible OLED display, which would otherwise be covered by a cosmetic trim such as a bezel or an opaque. As such, an electronic device with a display having minimized border area can be provided. This makes it possible to reduce the overall size of the electronic device without sacrificing the size of the display therein. Such a reduction in size of the bezel was achieved by bending the flexible substrate near its edge using an insert member.