A method for making empty pieces of a multilayer, cylindrical tubular rod suitable for making substantially cylindrical smokers' articles, comprising the steps of: a) feeding at least a first continuous web of a first material suitable for making a first layer of a continuous, multilayer web; b) feeding a second continuous web of a second material suitable for making a second continuous layer of the continuous, multilayer web; c) forming the continuous, multilayer web by superposing at least the first layer and the second layer, wherein the first layer is positioned in such a way as to occupy, in the rod, a radially inner position relative to the second layer, and feeding the continuous, multilayer web along a feed direction; d) wrapping the continuous, multilayer web around the feed direction, making at least a first splice of the lateral edges of the first layer and a second splice of the lateral edges of the second layer, to obtain an empty rod having a round internal transverse cross section along the feed direction; e) cutting the empty rod into empty pieces; the steps a)-e) being performed on a single machine for making a multilayer, cylindrical tubular rod wherein the step d) is accomplished by disposing the lateral edges (4, 7) of at least one between the first and the second layer (2, 5) in such a way as to make at least one between the first and the second splice (3, 6) as an end-to-end splice; characterized in that the method comprises a step f) of feeding a third continuous web of a third material suitable for making a third layer of the rod, wherein the third layer is positioned in such a way as to occupy, in the rod, a radially outer position relative to the first and second layers (2, 5). a) feeding at least a first continuous web of a first material suitable for making a first layer of a continuous, multilayer web; b) feeding a second continuous web of a second material suitable for making a second continuous layer of the continuous, multilayer web; c) forming the continuous, multilayer web by superposing at least the first layer and the second layer, wherein the first layer is positioned in such a way as to occupy, in the rod, a radially inner position relative to the second layer, and feeding the continuous, multilayer web along a feed direction; d) wrapping the continuous, multilayer web around the feed direction, making at least a first splice of the lateral edges of the first layer and a second splice of the lateral edges of the second layer, to obtain an empty rod having a round internal transverse cross section along the feed direction; e) cutting the empty rod into empty pieces; the steps a)-e) being performed on a single machine for making a multilayer, cylindrical tubular rod wherein the step d) is accomplished by disposing the lateral edges (4, 7) of at least one between the first and the second layer (2, 5) in such a way as to make at least one between the first and the second splice (3, 6) as an end-to-end splice; characterized in that the method comprises a step f) of feeding a third continuous web of a third material suitable for making a third layer of the rod, wherein the third layer is positioned in such a way as to occupy, in the rod, a radially outer position relative to the first and second layers (2, 5).