We present the results of a solar model independent analysis of the ex
isting solar neutrino data in the case of nu(e) --> nu(mu(tau)) MSW tr
ansitions. We considered two cases. In the first case no assumptions o
n the values of the total fluxes of neutrinos from all reactions have
been made. In the second case we constrained the values of the neutrin
o fluxes within some wide limits that take into account the prediction
s of the existing Standard Solar Models. We show that in both cases th
e existing data allow to exclude rather large regions in the plane of
the parameters Delta m(2) and sin(2) 2 theta.