A set of dies for embossing or debossing is disclosed. The set has a female die (4, 80) and a male die (7, 67) each which has a steel backing plate (5, 47, 75). One of the dies is strongly magnetically attracted to a base plate (1, 68) which results in a weak magnetic attraction between the two dies (4, 7 or 67, 80). The weak magnetic attraction enables the set of dies to be substantially automatically self-aligning. Furthermore, such a set of dies can be used with a cutting and creasing die (50) to permit embossing or debossing simultaneously with cutting and/or folding during the same run.