  We analyze the Blume-Emery-Griffiths model with disordered magnetic
interaction displaying the inverse freezing phenomenon. The behaviour of this
spin-1 model in crystal field is studied throughout the phase diagram and the
transition and spinodal lines for the model are computed using the Full Replica
Symmetry Breaking Ansatz that always yelds a thermodynamically stable phase. We
compare the results both with the quenched disordered model with Ising spins on
lattice gas - where no reentrance takes place - and with the model with
generalized spin variables recently introduced by Schupper and Shnerb [Phys.
Rev. Lett. 93, 037202 (2004)]. The simplest version of all these models, known
as Ghatak-Sherrington model, turns out to hold all the general features
characterizing an inverse transition to an amorphous phase, including the right
thermodynamic behavior.
