A process for recovering wastes of a polymeric composition including at least one peroxide-curable polymer and at least one peroxidic crosslinking agent, which includes compounding the wastes with at least one antioxidant agent suitable for sulfur-vulcanized elastomeric compositions, at a temperature lower than the decomposition temperature of the at least one peroxide crosslinking agent. The compounding of the polymeric wastes with the antioxidant agent is carried out at a temperature lower than the decomposition temperature of the peroxide crosslinking agent, so as to avoid any premature activation of the crosslinking agent. The process is particularly suitable for compositions based on elastomeric polyolefins, more preferably for elastomeric ethylene copolymers such as ethylene-propylene copolymers (EPR) and ethylene-propylene-diene terpolymers (EPDM), which can be processed at relatively low temperatures, much lower than the decomposition temperatures of the most common peroxide crosslinking agents.