Abstract: The dye composition has a pH of 3 to 12 and contains water, alcohols and/or mixtures thereof as a solvent; from 0.01 to 10 percent by weight of at least one dye compound of formula (I), wherein R1 represents hydrogen or a methyl group and Y is an amino group of the formula —NHR2, and R2 is either a cyclopropyl group, a methoxyethyl group or a methoxypropyl group; OR wherein R1 represents hydrogen or a linear or branched alkyl group with 1 to 4 carbon atoms and Y represents a heterocyclic ring of formula (II): wherein X is a nitrogen atom or an oxygen atom and m is 1, 2 or 3 and n is 0 or 1; and from 0.5 to 30 percent by weight of at least one anionic, cationic, amphoteric and nonionic and/or zwitterionic surface-active substances and/or from 0.1 to 25 percent by weight of at least one thickener and/or from 0.1 to 5 percent by weight of at least one care material. A method of dyeing fibers using the composition is also described.