A fibrous product, especially tissue paper product, non-woven product or a hybrid thereof, includes at least one top ply with either an embossing pattern forming pillow-like chambers at least partially surrounded by first embossing protuberances or with second embossing protuberances; at least one middle ply embossed in register with the at least one top ply so that either second embossing protuberances of the at least one middle ply nest into the pillow-like chambers of the at least one top ply or second embossing protuberances of the at least one top ply nest into the pillow-like chambers at least partially surrounded by first embossing protuberances of the at least one middle ply; and at least one bottom ply not in register with the at least one top ply and being bonded to both the at least one top ply and the at least one middle ply.