A valve for incorporation in a fuel line, between a pump and a fuel burner, has a valve chamber and a valve member in the chamber. The valve member normally closes a connection from the pump to the burner, but opens this connection in response to a suitably raised pump discharge pressure. Means are provided whereby, upon the shutting off of such pump discharge pressure, the valve, by magnetic action not only closes but momentarily causes fuel to be drawn from the line to the burner, to prevent fuel from dripping out of the burner and from thereby causing smell, spillage or clogging of the burner.