  Strange quark matter in a color flavor locked (CFL) state can be the true
ground state of hadronic matter for a much wider range of the parameters of the
model (the gap of the QCD Cooper pairs $\Delta$, the strange quark mass $m_s$
and the Bag Constant $B$) than the state without any pairing. We review the
equation of state (EOS) of CFL strange matter and study the structure of
stellar objects made up of this phase, highlighting the novel features of the
latter. Although the effects of pairing on the equation of state are thought to
be small, we find that CFL stars may be in fact much more compact than strange
stars (SS). This feature may be relevant in view of some recent observation
claiming the existence of exotic and/or deconfined phases in some nearby
neutron stars (NS).
