  Using the dynamical mean-field approximation we investigate formation of
excitonic condensate in the two-band Hubbard model in the vicinity of the
spin-state transition. With temperature and band filling as the control
parameters we realize all symmetry allowed spin-triplet excitonic phases, some
exhibiting a ferromagnetic polarization. While the transitions are first-order
at low temperatures, at elevated temperatures continuous transitions are found
that give rise to a multi-critical point. Rapid but continuous transition
between ferromagnetic and non-magnetic excitonic phases allows switching of
uniform magnetization by small changes of chemical potential.
