Halogen-free, flame-retardant thermoplastic polyester elastomer (TPE-E) compositions that include at least one thermoplastic polyester elastomer, at least one low-melting, phosphorus-based flame retardant having a melting temperature no higher than 150° C., and a blend of solid intumescent flame retardants comprising a phosphorus-based, organic salt flame retardant and a nitrogen-based organic flame retardant are provided. The presence of the low-melting, phosphorus-based flame retardant renders the compositions more resistant to scratch-whitening.