A method for processing a semiconductor wafer is proposed. The method may include reducing a thickness of the semiconductor wafer. A carrier structure is placed on a first side of the semiconductor wafer, e.g. before or after reducing the thickness of the semiconductor wafer. The method further includes providing a support structure on a second side of the semiconductor wafer opposite to the first side, e.g. after reducing the thickness of the semiconductor wafer. Methods for welding a support structure onto a semiconductor wafer are proposed. Further, semiconductor composite structures with support structures welded onto a semiconductor wafer are proposed.