An embossing device for producing a multi-ply web material having at least two embossed plies (V1, V2; V3) bonded by gluing, comprising: - a first embossing roller provided with first embossing protuberances; - a first pressure roller, configured for forming with the first embossing roller a first embossing nip configured for receiving and embossing a first ply with first embossed protrusions of a first embossing pattern defined by the first embossing protuberances; - a glue dispenser co-acting with the first embossing roller for applying glue to embossed protrusions of the first ply when the first ply is in contact with the first embossing roller; - a second embossing roller provided with second embossing protuberances; - a second pressure roller, configured for forming with the second embossing roller a second embossing nip configured for receiving and embossing a second ply with second embossed protrusions of a second embossing pattern defined by the second embossing protuberances; wherein the first embossing roller and the second embossing roller are configured for forming a first transfer nip for the passage of embossed plies (V1 V2); - a third embossing roller provided with third embossing protuberances; - a third pressure roller, configured for forming with the third embossing roller a third embossing nip configured for receiving and embossing a third ply with third embossed protrusions of a third embossing pattern defined by the third embossing protuberances; wherein the third embossing roller and the first embossing roller are configured for forming a second transfer nip for the passage of embossed plies (V1, V2, V3); said embossing device being characterized in that it comprises a lamination roller configured for co-acting with the first embossing roller and configured for laminating the first ply and the second ply between the lamination roller and the first embossing protuberances of the first embossing roller. - a first embossing roller provided with first embossing protuberances; - a first pressure roller, configured for forming with the first embossing roller a first embossing nip configured for receiving and embossing a first ply with first embossed protrusions of a first embossing pattern defined by the first embossing protuberances; - a glue dispenser co-acting with the first embossing roller for applying glue to embossed protrusions of the first ply when the first ply is in contact with the first embossing roller; - a second embossing roller provided with second embossing protuberances; - a second pressure roller, configured for forming with the second embossing roller a second embossing nip configured for receiving and embossing a second ply with second embossed protrusions of a second embossing pattern defined by the second embossing protuberances; wherein the first embossing roller and the second embossing roller are configured for forming a first transfer nip for the passage of embossed plies (V1 V2); - a third embossing roller provided with third embossing protuberances; - a third pressure roller, configured for forming with the third embossing roller a third embossing nip configured for receiving and embossing a third ply with third embossed protrusions of a third embossing pattern defined by the third embossing protuberances; wherein the third embossing roller and the first embossing roller are configured for forming a second transfer nip for the passage of embossed plies (V1, V2, V3); said embossing device being characterized in that it comprises a lamination roller configured for co-acting with the first embossing roller and configured for laminating the first ply and the second ply between the lamination roller and the first embossing protuberances of the first embossing roller.