  Non-universality in the soft breaking terms is a common feature in most
superstring inspired SUSY models. This property is required to obtain sizeable
CP violation effects from SUSY and, on the other hand, can be used to avoid the
Electric Dipole Moment constraints. We take advantage of these qualities and
explore a class of SUSY models based on type I string theory where scalar
masses, gaugino masses and trilinear couplings are non-universal. In this
framework, we show that, in the presence of large SUSY phases, the bounds on
the Electric Dipole Moments can be controled without fine-tuning. At the same
time, we find that these phases, free from EDM constraints, lead to large
contributions to the observed CP phenomena in Kaon system and, in particular,
to direct CP violation in epsilon'/epsilon.
