  We perform a general analytic study of feasibility of obtaining a combined
explanation for the deficits in the solar and the atmospheric neutrino fluxes
with two large mixing angles in supersymmetric model with bilinear R parity
violations. The required hierarchy among the solar and atmospheric neutrino
mass scales follows in this framework in the presence of an approximate Higgs -
slepton universality at the weak scale. The solar mixing angle is shown to be
related to non-universality in slepton mass terms specifically to differences
in soft parameters of the first two leptonic generations. It is shown that this
flavour universality violation should be as strong as the Higgs-slepton
universality violation if solar neutrino mixing angle is to be large. The
standard supergravity models with universal boundary conditions at a high scale
lead to the required Higgs-slepton universality violations but the predicted
violation of flavour universality among the first two generations is much
smaller than required. This model therefore cannot provide an explanation of
large solar neutrino mixing angle unless some universality violations in soft
supersymmetry breaking parameters are introduced at a high scale itself.
