A process for styling dyed hair fibers in a manner which inhibits subsequent color loss during shampooing involving contacting the dyed hair fibers with a composition containing: (a) at least one polyamine compound having at least two amino groups; (b) at least one anionic silicone; (c) at least one film-forming polymer; and (d) optionally, at least one surfactant, and wherein (a) is present in the composition in an amount sufficient to inhibit color loss during shampooing.