Providing are a flexible display panel and flexible display device. The flexible display panel includes a display area and a non-display area surrounding the display area. The non-display area includes a flexible substrate, an inorganic layer and a metal wire stacked together. An overlapping area exists between the non-display area and a bending area of the flexible display panel. In the overlapping area, at least one groove is formed on the inorganic layer, and the metal wire is at least partially arranged in the at least one groove.