  We present a novel model-independent generic mechanism for primordial black
hole formation within the context of non-singular matter bouncing cosmology. In
particular, considering a short duration transition from the matter contracting
phase to the Hot Big Bang expanding Universe, we find naturally enhanced
curvature perturbations on very small scales which can collapse and form
primordial black holes. Interestingly, the primordial black hole masses that we
find can lie within the observationally unconstrained asteroid-mass window,
potentially explaining the totality of dark matter. Remarkably, the enhanced
curvature perturbations, collapsing to primordial black holes, can induce as
well a stochastic gravitational-wave background, being potentially detectable
by future experiments, in particular by SKA, PTAs, LISA and ET, hence serving
as a new portal to probe the potential bouncing nature of the initial
conditions prevailed in the early Universe.
