Disclosed is an embossing method and material made by the method, including at least a pair of embossing rolls having unmatched embossing patterns engraved independently from each other, and having enlarged sidewall clearances between adjacent, inter-engaged protrusions and recessions of the embossing patterns. The sidewall clearances can range from about 0.002null (about 0.050 mm) to about 0.050null (about 1.27 mm). The width of the protrusions can be greater than about 0.002null or about 0.050 mm. The peripheral surface of at least one of the embossing rolls can comprise a metal, a plastic, a ceramic, or a rubber. Also disclosed is an embossed web material capable of being used as a wrap material for food products, made by the above process.