The present invention is directed to a runflat tire having at least one of its components comprising the radial carcass ply, the underlay, the overlay, the bead inserts or the chippers, reinforced with polyester cords having a polyepoxide disposed on its surface. The polyester cord is formed by first obtaining a cord through twisting together a plurality of polyester yarns, secondly treating the cord with an aqueous dispersion comprising a polyepoxide, and thirdly treating the cord with an aqueous RFL dispersion comprising a resorcinol-formaldehyde resin, a styrene-butadiene copolymer latex, a vinylpyridine-styrene-butadiene terpolymer latex, and a blocked isocyanate.