  We show that the non-standard neutrino interactions can play a role as
sub-leading effect on the solar neutrino oscillations. We observe that very
small flavor universality violations of order of 0.1-0.2 G_F is sufficient to
induce two phenomena: suppression of the eletronic neutrino earth regeneration
and a shift of the resonance layer in the sun. We obtain these phenomena even
in the absence of any flavor changing interactions. We discuss their
consequences and confront with a global analysis of solar+KamLAND results. We
conclude that a new compatibility region in the Delta m^2 x tan^2\theta, which
we call very low Large Mixing Angle region, is found for Delta m^2 ~ 1e-5 eV^2
and tan^2\theta= 0.45.
