The invention relates to a method for producing a nutritional and medicinal oral composition for veterinary use, comprising the following steps: a) providing cores of extruded products of complete feed, and b) coating the cores of extruded products of complete feed provided in step a) with at least one layer of a fatty material comprising at least one medicinal agent, said medicinal agent comprising (i) at least one pre-conditioned active substance in the form of a solution or a suspension of said active substance in an oily liquid, or (ii) at least one pre-conditioned active substance in the form of waxy granulates, at a temperature lower than 40° C.