  We carry a Monte Carlo study of the coupled two-scalar $\lambda\phi^2_1
\phi^2_2$ model in three dimensions. We find no trace of Inverse Symmetry
Breaking in the region of negative $\lambda$'s for which the one-loop effective
potential predicts this phenomenon. Moreover, for $\lambda$'s negative enough,
but still in the stability region for the potential, one of the transitions
turns out to be of first order, both for zero and finite temperature.
