Models that generate neutrino masses (and, in general, other SM extensions) might produce new neutrino interactions as a by-product. In the usual phenomenological framework, Non-Standard Neutrino Interactions (NSI) are modeled as a four fermion neutrino interaction
with general couplings times the Fermi constant. We review the general formalism and the current limits on the NSI couplings. Finally, the NSI impact in the determination of the neutrino oscillation parameters is discussed in the context of the running facilities focusing on the determination of the reactor mixing angle and the Dirac CP phase.