The present invention concerns a solid, palatable composition and its preparation process which, relative to the total weight of the composition, comprises: 5 to 30%, preferably 8 to 20% by weight of at least one fat chosen from among a liquid oil, a fat, wax or mixture thereof, the liquid oil not to represent more than 8% by weight of the composition； 0.001 to 85% by weight of at least one active substance； and 20 to 95%, preferably 40 to 70% by weight of at least one palatable material, for use thereof as medicinal product, nutraceutical or food supplement, for oral administration to mammals, except man, in particular for domestic animals such as dogs, cats or horses. The 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.
