A strand is coated with a powdered material by first applying a layer of hot polymer resin to the strand, and spraying the powdered material onto the resin-coated strand from at least three nozzles disposed along the processing path and spaced radially therearound. The spray apparatus is disposed within nested containers so as to limit the escape of overspray powder. The powder-coated strand may be heat-set to increase the adhesion of the powder.