  We study the anomalous decays $\pi^0, \eta \to\gamma\gamma$ in the framework
of the three--flavor Nambu--Jona-Lasinio [NJL] model at finite temperature. The
similarities and differences between these results and those obtained at zero
temperature and finite density are discussed. In both cases the lifetimes of
these mesons decrease significantly at the critical point, although this might
not be sufficient to observe enhancement of these decays in heavy-ion
collisions.
