The fetching device has an arm which captures die-cut blanks located in the magazine of an erecting machine for erecting these blanks to form boxes or the like. The extractor arm is provided with suckers and these suckers are supplied by circuits and. The circuits and are connected to each end of the arm and they are also provided with dispenser-type devive and, respectively, so that they can be active together or separately. The suckers are wholly or partly provided with multifunction three-way valves. These valves are able to allow as many suckers as possible to be selected and used for the operation of extracting each die-cut blank and to isolate the circuits from each other in order to deactivate any suckers which are to be shunted in order to erect said die-cut blanks, for example.