A process for the production of impact-modified composition that contains polyalkylene terephthalate and polycarbonate resins is disclosed. The process includes (i) in a first step combining in the melt at 90 to 175° C. glycidyl ester with at least one member selected from the first group consisting of polyalkylene terephthalate and polycarbonate to obtain a molten mixture, said member in powder form, and (ii) in a subsequent step combining the molten mixture with at least one component selected from the second group consisting of polyalkylene terephthalate and polycarbonate to obtain a composition. The composition is characterized in high gloss value.