  Light non-relativistic components of the galactic dark matter halo elude
direct detection constraints because they lack the kinetic energy to create an
observable recoil. However, cosmic-rays can upscatter dark matter to
significant energies, giving direct detection experiments access to previously
unreachable regions of parameter-space at very low dark matter mass. In this
work we extend the cosmic-ray dark matter formalism to models of inelastic dark
matter and show that previously inaccessible regions of the mass-splitting
parameter space can be probed. Conventional direct detection of
non-relativistic halo dark matter is limited to mass splittings of
$\delta\sim10~\mathrm{keV}$ and is highly mass dependent. We find that
including the effect of cosmic-ray upscattering can extend the reach to mass
splittings of $\delta\sim100~\mathrm{MeV}$ and maintain that reach at much
lower dark matter mass.
