  The magnetic ground state of the ferromagnetic shape memory alloy of nominal
composition Cu$_{2.84}$Mn$_{0.44}$Al$_{0.72}$ was investigated. The sample
shows reentry of a glassy magnetic phase below the martensitic transition
temperature, which is found to have complex character with two distinct
anomalies in the temperature dependent ac susceptibility data. The sample
retains its glassy phase even below the second transition as evident from the
magnetic memory measurements in different protocols. Existence of two
transitions along with their observed nature suggest that the system can be
described by the mean field Heisenberg model of reentrant spin glass as
proposed by Gabay and Toulous. \cite{rsg-GT1} The sample provides a fascinating
example where a Gabay-Toulous type spin glass state is triggered by a first
order magneto-structural transition.
