  We use the Migdal effect to extend to low masses the bounds on each of the
effective couplings of the non-relativistic effective field theory of a WIMP of
mass $m_\chi$ and spin 1/2 that interacts inelastically with nuclei by either
upscattering to a heavier state with mass splitting $\delta>0$ or by
downscattering to a lighter state with $\delta<0$. In order to do so we perform
a systematic analysis of the Migdal bounds in the $m_\chi-\delta$ parameter
space comparing them to those from nuclear recoil searches. The Migdal effect
allows to significantly extend to low WIMP masses the nuclear recoil bounds for
$\delta<0$. In this case the bounds are driven by XENON1T, except when $\delta$
is vanishing or very small, when, depending on the WIMP-nucleus interaction, in
the lower end of the $m_\chi$ range either DS50 or SuperCDMS are more
constraining. On the other hand, when $\delta>0$ and the WIMP particle
upscatters to a heavier state nuclear recoil bounds are stronger than those
from the Migdal effect.
