  Secret interactions of neutrinos with light new gauge bosons, $Z^\prime$, can
lead to a rich phenomenology in supernova explosion as well as in the early
Universe. This interaction can also lead to new decay modes for charged mesons,
$\pi^+ (K^+) \to e^+ \nu Z'$, and subsequently to $Z'\to \nu \bar{\nu}$. After
demonstrating that such an interaction can be accommodated within viable
electroweak symmetric models, we study how the near detector (ND) of DUNE can
probe this scenario. We also discuss how the DUNE ND can make it possible to
reconstruct the flavor structure of the $Z^\prime$ coupling to neutrinos.
