The Senate of the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) has announced the establishment of a new Priority Programme entitled “Software for Exascale Computing” (SPP 1648). The programme is scheduled to run for six years; the present call invites project sketches for proposals for the first three-year funding period. It addresses fundamental research on the various aspects of HPC software, which is particularly urgent against the background that we are currently entering the era of ubiquitous massive parallelism. This massive parallelism only, subsumed to the notion of many-core processors and their assembly to systems beyond 107 processing units, will smooth the way for extreme computing up to exascale, i.e. computations with 1018 floating point operations per second and beyond, and the insight resulting from those simulations. SPPEXA provides an ideal framework for bundling research activities nation-wide and enabling the participating groups to significantly advance the state of the art in HPC software technology at an international scale.