  We investigated the effect of application of hydrostatic pressure on the
charge-density wave (CDW) state in Lu(Pt$_{1-x}$Pd$_x$)$_2$In by
electrical-resistivity measurements. In Lu(Pt$_{0.7}$Pd$_{0.3}$)$_{2}$In we
find an increase of the CDW transition temperature upon application of
pressure, which is not expected based on simple volume arguments, but in line
with results of a theoretical work by Kim et al. [Phys. Rev. Lett. 125, 157001
(2020).]. Combining experimental and theoretical results suggests the existence
of a CDW quantum critical point in stoichiometric LuPd$_2$In around
$p\approx20$ GPa.
