  This review devoted to multiferroic properties of Bismuth-based perovskites
falls into two parts. The first part focuses on BiFeO3 and summarizes the
recent progress made in the studies of its pressure-temperature phase diagram
and magnetoelectric coupling phenomena. The second part discusses in a more
general way the issue of polar - and multiferroic - phases in BiBO3 perovskites
and the competition between ferroelectricity and other structural
instabilities, from an inventory of recently synthetized compounds.
