Composition for dyeing keratin fibres, in particular human keratin fibres such as the hair, characterized in that it comprises: i) one or more fatty substances, ii) one or more surfactants, iii) one or more oxidation bases chosen from para-phenylenediamines, bis(phenyl)alkylenediamines, para-aminophenols, ortho-aminophenols and the addition salts thereof and/or solvates thereof, iv) one or more basifying agents, v) one or more meta-phenylenediamine-based couplers of formula, and also the addition salts thereof, optical isomers, geometrical isomers and tautomers thereof and/or solvates thereof: in which formula: • R 1 and R 3 represent, independently of each other: ▪ a hydrogen atom, ▪ a methyl radical, ▪ a linear or branched C 1 -C 6 alkyl radical, substituted with one or more of the following: - -CONH 2 radicals, - -NHSO 2 CH 3 radicals, - di(C 1 -C 6)alkylamino radicals, - hydroxyl radicals, - amino radicals, - -COOH radicals, • R 2 represents: ▪ a C 1 -C 6 alkyl radical which may be substituted with one or more hydroxyl radicals, ▪ a linear or branched C 1 -C 6 alkoxy radical, which may be substituted with one or more of the following: - -CONH 2 radicals, - -NHSO 2 CH 3 radicals, - di(C 1 -C 6)alkylamino radicals, - amino radicals, - -COOH radicals, - C 1 -C 6 alkoxy radicals, (vii) one or more chemical oxidizing agents, the fatty substance content representing in total at least 10% by weight relative to the total weight of the said dye composition. i) one or more fatty substances, ii) one or more surfactants, iii) one or more oxidation bases chosen from para-phenylenediamines, bis(phenyl)alkylenediamines, para-aminophenols, ortho-aminophenols and the addition salts thereof and/or solvates thereof, iv) one or more basifying agents, v) one or more meta-phenylenediamine-based couplers of formula, and also the addition salts thereof, optical isomers, geometrical isomers and tautomers thereof and/or solvates thereof: in which formula: • R 1 and R 3 represent, independently of each other: ▪ a hydrogen atom, ▪ a methyl radical, ▪ a linear or branched C 1 -C 6 alkyl radical, substituted with one or more of the following: - -CONH 2 radicals, - -NHSO 2 CH 3 radicals, - di(C 1 -C 6)alkylamino radicals, - hydroxyl radicals, - amino radicals, - -COOH radicals, • R 2 represents: ▪ a C 1 -C 6 alkyl radical which may be substituted with one or more hydroxyl radicals, ▪ a linear or branched C 1 -C 6 alkoxy radical, which may be substituted with one or more of the following: - -CONH 2 radicals, - -NHSO 2 CH 3 radicals, - di(C 1 -C 6)alkylamino radicals, - amino radicals, - -COOH radicals, - C 1 -C 6 alkoxy radicals, • R 1 and R 3 represent, independently of each other: ▪ a hydrogen atom, ▪ a methyl radical, ▪ a linear or branched C 1 -C 6 alkyl radical, substituted with one or more of the following: - -CONH 2 radicals, - -NHSO 2 CH 3 radicals, - di(C 1 -C 6)alkylamino radicals, - hydroxyl radicals, - amino radicals, - -COOH radicals, ▪ a hydrogen atom, ▪ a methyl radical, ▪ a linear or branched C 1 -C 6 alkyl radical, substituted with one or more of the following: - -CONH 2 radicals, - -NHSO 2 CH 3 radicals, - di(C 1 -C 6)alkylamino radicals, - hydroxyl radicals, - amino radicals, - -COOH radicals, - -CONH 2 radicals, - -NHSO 2 CH 3 radicals, - di(C 1 -C 6)alkylamino radicals, - hydroxyl radicals, - amino radicals, - -COOH radicals, • R 2 represents: ▪ a C 1 -C 6 alkyl radical which may be substituted with one or more hydroxyl radicals, ▪ a linear or branched C 1 -C 6 alkoxy radical, which may be substituted with one or more of the following: - -CONH 2 radicals, - -NHSO 2 CH 3 radicals, - di(C 1 -C 6)alkylamino radicals, - amino radicals, - -COOH radicals, - C 1 -C 6 alkoxy radicals, ▪ a C 1 -C 6 alkyl radical which may be substituted with one or more hydroxyl radicals, ▪ a linear or branched C 1 -C 6 alkoxy radical, which may be substituted with one or more of the following: - -CONH 2 radicals, - -NHSO 2 CH 3 radicals, - di(C 1 -C 6)alkylamino radicals, - amino radicals, - -COOH radicals, - C 1 -C 6 alkoxy radicals, - -CONH 2 radicals, - -NHSO 2 CH 3 radicals, - di(C 1 -C 6)alkylamino radicals, - amino radicals, - -COOH radicals, - C 1 -C 6 alkoxy radicals, (vii) one or more chemical oxidizing agents,