This paper presents a novel methodology for generating and compressing configuration bitstreams for modules that can be executed at different positions of an FPGA. The presented methodology for bitstream generation and compression does not need deep knowledge of the bitstream format and it is independent of the target (Xilinx) FPGA family. The approach consists of a design phase where partial bitstreams are decomposed into sequences of module dependent and module independent pieces of configuration data. At run-time, this data can then be recomposed for the individual placement positions by a special DMA configuration controller as one atomic operation without any further software interaction. Our experiments demonstrate that module relocation and fast partial reconfiguration can be implemented at low logic cost.