Abstract: Precision measurements of neutrino -electron scattering may provide a viable way to test the nonminimal form of the charged and neutral current weak interactions within a hypothetical near -detector setup for the Deep Underground Neutrino Experiment (DUNE). Although low -statistics, these processes are clean and provide information complementing the results derived from oscillation studies. They could shed light on the scale of neutrino mass generation in low -scale seesaw schemes.