A solid, palatable composition as medicinal product, nutraceutical or food supplement, for oral administration to mammals, except human, in particular to domestic animals such as dogs, cats or horses comprising relative to the total weight of the composition: - 5 to 30 %, preferably 8 to 20 % by weight of at least one fat chosen from among a liquid oil, a fat, a wax or mixture thereof, the liquid oil not to represent more than 8 % by weight of the composition, - 0.001 to 55 % by weight of at least one active substance, and - 20 to 95 %, preferably 40 to 70 % by weight of at least one palatable material, characterized in that: a) the liquid oil is chosen from among olive oil, groundnut oil, rapeseed oil, sunflower oil, and the mixtures thereof; b) the fat is chosen from among chicken fat, duck fat, lard, tallow, butter, palm fat, palm stearin, margarine, palm oil optionally hydrogenated, cetyl palmitate, hydrogenated coconut oil, and the mixtures thereof; c) the wax is chosen from among beeswax, carnauba wax, candelilla wax, and the mixtures thereof; d) the palatable material is chosen from among meat, meat powders, fish powders, cheese powders, milk derivatives, liver powder, gelatine, the extracts of these animal substances or their derivatives; beer yeast; vegetable fibres; vegetable products and by-products such as fenugreek, apple, carrot, fodder beet, sugar beet, thyme, alfalfa, sugar cane, cereals such as oats, wheat, rice, corn, soy, their derivatives such as flours and the mixtures thereof; crystallised sucrose, powdered, glucose, invert sugar, molasses, honey and its derivatives, and the mixtures thereof, sodium chloride, and e) said solid composition is obtained by mixing the components, vaporising the fats, calibrating the dry, fluid granular material and compressing the granular material in a stock cube press, wherein - the mixture is in the form of a dry, fluid, homogeneous granular material, - the dry, fluid granular material has a particle size of between 50 and 1000 μm, preferably between 200 and 600 μm, - the solid, palatable composition has a unit weight to within about 3% of the theoretical value of the required weight, and preferably to within about 2% of the theoretical value of the required weight. - 5 to 30 %, preferably 8 to 20 % by weight of at least one fat chosen from among a liquid oil, a fat, a wax or mixture thereof, the liquid oil not to represent more than 8 % by weight of the composition, - 0.001 to 55 % by weight of at least one active substance, and - 20 to 95 %, preferably 40 to 70 % by weight of at least one palatable material, characterized in that: a) the liquid oil is chosen from among olive oil, groundnut oil, rapeseed oil, sunflower oil, and the mixtures thereof; b) the fat is chosen from among chicken fat, duck fat, lard, tallow, butter, palm fat, palm stearin, margarine, palm oil optionally hydrogenated, cetyl palmitate, hydrogenated coconut oil, and the mixtures thereof; c) the wax is chosen from among beeswax, carnauba wax, candelilla wax, and the mixtures thereof; d) the palatable material is chosen from among meat, meat powders, fish powders, cheese powders, milk derivatives, liver powder, gelatine, the extracts of these animal substances or their derivatives; beer yeast; vegetable fibres; vegetable products and by-products such as fenugreek, apple, carrot, fodder beet, sugar beet, thyme, alfalfa, sugar cane, cereals such as oats, wheat, rice, corn, soy, their derivatives such as flours and the mixtures thereof; crystallised sucrose, powdered, glucose, invert sugar, molasses, honey and its derivatives, and the mixtures thereof, sodium chloride, and e) said solid composition is obtained by mixing the components, vaporising the fats, calibrating the dry, fluid granular material and compressing the granular material in a stock cube press, wherein a) the liquid oil is chosen from among olive oil, groundnut oil, rapeseed oil, sunflower oil, and the mixtures thereof; b) the fat is chosen from among chicken fat, duck fat, lard, tallow, butter, palm fat, palm stearin, margarine, palm oil optionally hydrogenated, cetyl palmitate, hydrogenated coconut oil, and the mixtures thereof; c) the wax is chosen from among beeswax, carnauba wax, candelilla wax, and the mixtures thereof; d) the palatable material is chosen from among meat, meat powders, fish powders, cheese powders, milk derivatives, liver powder, gelatine, the extracts of these animal substances or their derivatives; beer yeast; vegetable fibres; vegetable products and by-products such as fenugreek, apple, carrot, fodder beet, sugar beet, thyme, alfalfa, sugar cane, cereals such as oats, wheat, rice, corn, soy, their derivatives such as flours and the mixtures thereof; crystallised sucrose, powdered, glucose, invert sugar, molasses, honey and its derivatives, and the mixtures thereof, sodium chloride, and e) said solid composition is obtained by mixing the components, vaporising the fats, calibrating the dry, fluid granular material and compressing the granular material in a stock cube press, wherein - the mixture is in the form of a dry, fluid, homogeneous granular material, - the dry, fluid granular material has a particle size of between 50 and 1000 μm, preferably between 200 and 600 μm, - the solid, palatable composition has a unit weight to within about 3% of the theoretical value of the required weight, and preferably to within about 2% of the theoretical value of the required weight.