  The Weakly Interacting Massive Particles (WIMPs) so far remain one of the
most popular candidates for dark matter. If captured gravitationally inside the
core of the Sun, these WIMPs may produce high energy neutrinos as the end
product in case they undergo self annihilations at the solar core. In this
work, we address the detectability of such neutrinos at the proposed KM3NeT
detector. Upper bounds of the detection rate for such neutrinos at KM3NeT are
computed for the case of a generic dark matter scenario and also when specific
models for particle dark matter are chosen. In this work, upper bounds of muon
event rates for different annihilating dark matter masses are computed for each
of the cases of dark matter annihilation channels (e.g. $b\bar{b}~, W^+W^-,
Z\bar{Z} $ etc). These upper bounds are also computed by considering the dark
matter scattering cross-section using upper bounds obtained from PandaX-4T
direct dark matter search experiment.
