An embossing device (1) includes three embossing rollers (5, 7, 9), each co-acting with a pressure roller (11, 15, 19), to emboss a plurality of paper plies (V1, V2, V3). Two embossing rollers can be easily interchanged to switch from a nested configuration to a tip-to-tip configuration, or to switch from one type of pattern to another. A lamination roller and a glue dispenser are arranged around one of the embossing rollers.