This work shows preliminary results on the study of FexMn0.6−xAl0.40 alloys. It includes measurements of the temperature dependence of the ac susceptibility, zero field cooled magnetization, and Mössbauer spectroscopy. From the results obtained, the occurrence of reentrant spin glass behavior from a spin glass phase to an antiferromagnetic one for 0.2≤x≤0.35 and from a spin glass phase to a ferromagnetic one for the x=0.55 sample is proposed. Also, a normal spin glass transition was detected in the Fe range corresponding to 0.35≤x≤0.5. These results allow us to construct a magnetic phase diagram for the alloy series.