Filter assembly and fuel injector

A filter assembly (110) for an injector (100) for injecting fuel into a combustion engine comprises a filter element (165) with a frame (180), the frame having an axial end (220), as well as a tubular filter housing (170) in which the filter element (165) is received. The filter housing (170) has a side wall with a taper (305) supporting the axial end (220) of the frame (180) of the filter element (165) and the taper (305) has the shape of a conic section, based on a cone with an opening angle ³ of less than 180°.