In an embodiment, a method includes forming at least one trench in non-device regions of a first surface of a semiconductor wafer, the non-device regions being arranged between component positions, the component positions including device regions and a first metallization structure, applying a first polymer layer to the first surface of a semiconductor wafer such that the trenches and edge regions of the component positions are covered with the first polymer layer and such that at least a portion of the first metallization structure is uncovered by the first polymer layer, removing portions of a second surface of the semiconductor wafer, the second surface opposing the first surface, revealing portions of the first polymer layer in the non-device regions and producing a worked second surface and inserting a separation line through the first polymer layer in the non-device regions to form a plurality of separate semiconductor dies.