Composition, comprises: (a) at least 25% of one or more fatty substance comprising fatty amides and esters of fatty acids; (b) one or more dye precursors; (c) one or more oxidizing agents; and optionally (d) one or more alkaline agents. Independent claims are included for: (1) dyeing keratin fibers, comprising applying a composition to the keratin fibers for a sufficient time to develop the desired coloration; and (2) multi-compartment device comprising: a first compartment which contains a composition comprising one or more esters and/or fatty amides associated optionally with other additional fatty substance, second compartment containing the dye precursor and optional alkaline agents; and a third compartment containing one or more oxidizing agents, where the third compartment may contain a portion of fatty substance, dye precursors, or oxidizing agents and optionally alkaline agents; or a first compartment containing a composition comprising fatty esters or and/or fatty amides optionally combined with optionally other additional fatty substances and one or more oxidants, and a second compartment containing one or more dye precursors and the optional alkaline agents, or fatty substance derived from amides and/or esters of fatty acids, dye precursors, oxidizing agents or optional alkaline agents; or a first compartment containing a composition comprising one or more fatty substance, or dye precursors and optional alkaline agents, and a second compartment containing one or more oxidizing agents or fatty substance derived from amides and/or esters of fatty acids, or dye precursors, or oxidizing agents or optional alkaline agents.