  In the unconstrained MSSM, we reanalyze the constraints on the phases of
supersymmetric flavour conserving couplings that follow from the electron and
neutron electric dipole moments (EDM). We find that the constraints become weak
if at least one exchanged superpartner mass is >O(1 TeV) or if we accept large
cancellations among different contributions. However, such cancellations have
no evident underlying symmetry principle. For light superpartners, models with
small phases look like the easiest solution to the experimental EDM
constraints. This conclusion becomes stronger the larger is the value of
$\tan\beta$. We discuss also the dependence of $\epsilon_K$, $\Delta m_B$ and
$b\to s\gamma$ decay on those phases.
