A graphics processing system processes primitive fragments using a rendering space which is sub-divided into tiles. The graphics processing system comprises processing engines configured to apply texturing and/or shading to primitive fragments. The graphics processing system also comprises a cache system for storing graphics data for primitive fragments, the cache system including multiple cache subsystems. Each of the cache subsystems is coupled to a respective set of one or more processing engines. The graphics processing system also comprises a tile allocation unit which operates in one or more allocation modes to allocate tiles to processing engines. The allocation mode(s) include a spatial allocation mode in which groups of spatially adjacent tiles are allocated to the processing engines according to a spatial allocation scheme, which ensures that each of the groups of spatially adjacent tiles is allocated to a set of processing engines which are coupled to the same cache subsystem.