Fuel Pump for a Direct Injection System

A valve assembly for a fuel pump and having: a one-way outlet closing valve, which only allows fuel to flow out; a one-way pressure relief valve, which only allows fuel to flow in; a connector, which has a housing on the inside; and a valve disc, which engages the housing of the connector and has a plurality of through outlet holes and a through relief hole. A shutter of the outlet closing valve consists of a flexible sheet, which is fixed to the valve disc and has: a plurality of shutting portions arranged in the area of the outlet holes; a peripheral mounting portion with an annular shape; a plurality of outer connection portions, each connecting the peripheral mounting portion to a corresponding shutting portion; a central mounting portion; and a plurality of inner connection portions, each connecting the central mounting portion to a corresponding shutting portion.