  We explore the parameter space of the phenomenological Minimal Supersymmetric
Standard Model (pMSSM) with a light neutralino thermal dark matter
($m_{\tilde{\chi}_1^0} \leq m_h/2$) that is consistent with current collider
and astrophysical constraints. We consider both positive and negative values of
the higgsino mass parameter ($\mu$). Our investigation shows that the recent
experimental results from the LHC as well as from direct detection searches for
dark matter by the LUX-ZEPLIN (LZ) collaboration rule out the $Z$-funnel region
for the $\mu>0$ scenario. The same results severely restrict the $h$-funnel
region for positive $\mu$, however, the allowed points can be probed easily
with few more days of data from the LZ experiment. In the $\mu<0$ scenario, we
find that very light higgsinos in both the $Z$ and $h$ funnels might survive
the present constraints from the electroweakino searches at the LHC, and
dedicated efforts from experimental collaborations are necessary to make
conclusive statements about their present status.
