  We compute the relic abundance of dark matter in the presence of Primordial
Black Holes (PBHs) beyond the semiclassical approximation. We take into account
the quantum corrections due to the memory burden effect, which is assumed to
suppress the black hole evaporation rate by the inverse power of its own
entropy. Such quantum effect significantly enhances the lifetime, rendering the
possibility of PBH mass $\lesssim 10^{9}$ g being the sole dark matter (DM)
candidate. However, Nature can not rule out the existence of fundamental
particles such as DM. We, therefore, include the possibility of populating the
dark sector by the decay of PBHs to those fundamental particles, adding the
contribution to stable PBH whose lifetime is extended due to the quantum
corrections. Depending on the strength of the burden effect, we show that a
wide range of parameter space opens up in the initial PBH mass and fundamental
dark matter mass plane that respects the correct relic abundance.
