  We discuss the emergence of spontaneous synchronization for an open spin-pair
system interacting only via a common environment. Under suitable conditions,
and even in the presence of detuning between the natural precession frequencies
of the two spins, they are shown to reach a long-lasting transient behavior
where they oscillate in phase. We explore the connection between the emergence
of such a behavior and the establishment of robust quantum correlations between
the two spins, analyzing differences between dissipative and dephasing effects.
