A composition comprising at least two incompatible thermoplastic polymers, which are respectively polar and apolar, and at least one polymeric compatibilizer that includes at least two groups of polar and apolar units compatible with said polymers respectively, wherein the composition comprises the product of a hot compounding reaction, in the presence of a crosslinking system, of said compatibilizer in the crosslinkable state with said thermoplastic polymers, in such a way that only said compatibilizer is crosslinked in said composition.