Annealing of supersaturated deformed Al-Mn-(Fe-Si) alloys at sufficiently high temperatures results in concurrent precipitation of fine dispersoids. The dispersoids have a large effect on softening behavior resulting in different grain size and texture. These effects are further studied and quantitatively decribed. Characterization of deformation structures with respect to the effect of different microchemistries (solid solution, constituent particles and dispersoids) and strains on the deformation structures has been performed. Time-Temperature-Transformation (TTT) diagrams with respect to precipitation and recrystallisation for analysis of the degree of concurrent precipitation has been established. Moreover, the microstructural evolution during annealing has been followed by scanning electron microscopy, with a special focus on the different effects of pre-existing dispersoids and concurrent precipitation (static vs dynamic Zener drag) on the early stages of softening (recovery), on the nucleation behaviour of recrystallization (mechanisms, spatial distribution and orientation distribution of nuclei) and on the kinetics and microstructure/texture evolution of recrystallization.