  Within vacuum Weyl gravity, we obtain a solution by which, using different
choices of the conformal factor, we derive metrics describing (i)~a bounce of
the universe; (ii)~toroidal and spherical wormholes; and (iii)~a change in
metric signature. It is demonstrated that singularities occurring in these
systems are "masked". We give a simple explanation of the possibility of
masking the singularities within Weyl gravity. It is shown that in the first
and third cases the three-dimensional metrics form Ricci flows. The question of
the possible applicability of conformal Weyl gravity as some phenomenological
theory in an approximate description of quantum gravity is discussed.
