A process for altering the appearance of hair, the process comprising the steps of (a) providing a composition for dyeing and reducing curl and/or frizziness of hair, said composition comprising, in a cosmetically acceptable carrier: (i) at least one non-hydroxide base (ii) at least one protein denaturant different from (a)(ii) (iii) at least one direct dye (iv) at least one thickening agent (v) optionally, at least one alkoxysilane comprising at least one solubilizing functional group and (vi) optionally, at least one fatty substance (b) contacting the hair with the composition in (a) to form treated hair (c) smoothing the treated hair using a combination of heat and means for physically smoothing hair to form smoothed hair (d) optionally, shampooing the smoothed hair and (e) rinsing the smoothed hair.