  The XENON collaboration recently reported an excess of electron recoil events
in the low energy region with a significance of around $3.3\sigma$. An
explanation of this excess in terms of thermal dark matter seems challenging.
We propose a scenario where dark matter in the Milky Way halo gets boosted as a
result of scattering with the diffuse supernova neutrino background. This
interaction can accelerate the dark-matter to semi-relativistic velocities, and
this flux, in turn, can scatter with the electrons in the detector, thereby
providing a much better fit to the data. We identify regions in the parameter
space of dark-matter mass and interaction cross-section which satisfy the
excess. Furthermore, considering the data only hypothesis, we also impose
bounds on the dark-matter scattering cross-section, which are competitive with
bounds from other experiments.
