Abstract: Heat-reflective and protective sleeving is provided which has both an interior and an exterior convoluted profile. The sleeving includes layers of polymeric material, insulative material and reflective material which is assembled together into the convoluted profiles. A method and apparatus are provided for manufacturing the convoluted sleeving by wrapping a fabric-backed foil over a convoluted polymeric tubing while pushing the laminate into the grooves and over the crests of the convoluted profile of the polymeric tubing. In the preferred arrangement which is shown, this procedure is facilitated by the use of a plurality of worm gears that rotate substantially in unison in order to pull the convoluted polymeric tubing through an area defined by the worm gears, while simultaneously forming the convolutions in the laminate at the same time that the laminate is engaged with the external convoluted surface of the polymeric tubing.