A seamless, embossed or cast substrate is formed using a seamless sleeve having a seamless surface relief formed thereon and configured to slide over an cylindrical base in an embossing or casting assembly. The substrate is a flat web, foil, or film of, for example, paper, polyester, polypropylene, metal or other elongated flat material. The surface relief can be applied through interfering ablation, non-interfering ablation, ink jet printing, or other techniques wherein a seamless surface relief is formed onto the seamless sleeve. A method of making a seamless, embossed or cast substrate includes expanding a diameter of a seamless sleeve having a seamless surface relief formed thereon, sliding the expanded seamless sleeve onto a cylindrical base, allowing the diameter of the seamless sleeve to contract around the cylindrical base, and conveying a substrate through the embossing or casting assembly and embossing or casting the seamless surface relief into the substrate.