  We review some aspects of the attractor mechanism for extremal black holes of
(not necessarily supersymmetric) theories coupling Einstein gravity to scalars
and Maxwell vector fields. Thence, we consider N=2 and N=8, d=4 supergravities,
reporting some recent advances on the moduli spaces associated to BPS and
non-BPS attractor solutions supported by charge orbits with non-compact
stabilizers.
