A press assembly having a plurality of processing stations for processing sheets, wherein the plurality of processing stations are arranged in succession in a transport direction of the sheets for the inline processing of these sheets, wherein at least a first one of this plurality of processing stations is a non-impact printing unit, wherein a transfer unit, located upstream of an operating area of the non-impact printing unit, is provided for transferring the sheets from a first processing station located upstream of the non-impact printing unit to the non-impact printing unit, wherein the transfer unit aligns each of the sheets true to register in terms of its axial register relative to a printing position of the non-impact printing unit, characterized in that, in addition to the axial register, the transfer unit aligns each of the sheets true to register in terms of at least one of its circumferential register and in terms of its diagonal register relative to the printing position of the non-impact printing unit, wherein a second processing station located upstream of the non-impact printing unit in the transport direction of the sheets is embodied as one of a sheet feeder and as a magazine feeder, wherein a third processing station located between the second processing station and the non-impact printing unit is embodied as a first coating unit, wherein the first coating unit is embodied as one of a primer application unit and as a cold foil application unit and as a varnishing unit, and further wherein a first dryer is located between the first coating unit and the non-impact printing unit.