Methods are disclosed for making a band-driven package or a band-drive component for a package, and machines for performing the methods. One method comprises feeding first and second flexible webs in a feed direction, one web being fed each side of a substrate such that the webs are in mutual face-to-face disposition ahead of and behind the substrate with respect to the feed direction; joining the face-to-face webs at a first join ahead of the substrate and at a second join behind the substrate, the joins bounding web portions that together encircle the substrate between the joins; and dividing the joined web portions from the remainder of the webs such that the joined web portions together define a band that encircles the substrate, to be slid around the substrate in use of the package.