Abstract: An adhesive composition comprising a thermosetting powder adhesive adhered to a thermoplastic non-woven web adhesive, and processes for making the same. The thermosetting powder adhesive component is preferably a polyester, a polyester-polyurethane, an epoxy or an epoxy-polyester hybrid. The thermoplastic non-woven web adhesive component is preferably an ethylene-vinyl acetate copolymer, a polyester, a polyolefin, or a polyamide. The adhesive composition provides superior bonding between vinyl and/or cloth coverings and a variety of surfaces including metal, plastic, rubber and wood. There is also disclosed herein a composite article that comprises an adhesive layer made from the aforementioned adhesive composition and a substrate layer, and processes for making the same.