  We present a dispersive analysis of the three-pion decays of the lightest
isoscalar vector mesons. The framework allows for a consistent implementation
of final-state interactions among all three pions, with the results being
solely dependent on the pion-pion P-wave scattering phase shift. We compare our
results with the very precise KLOE measurement of phi --> 3pi. The omega/phi
--> 3pi partial-wave amplitude serves as input to a dispersive analysis of the
omega/phi --> pi0 gamma* transition form factor. We compare to data for omega
--> pi0 mu+ mu- by the NA60 collaboration and motivate an experimental
measurement of the OZI forbidden phi --> pi0 l+ l- decays in order to
understand the strong deviations in the omega channel.
