  We study fully nonlinear singularly perturbed parabolic equations and their
limits. We show that solutions are uniformly Lipschitz continuous in space and
H\"{o}lder continuous in time. For the limiting free boundary problem, we
analyse the behaviour of solutions near the free boundary. We show, in
particular, that, at each time level, the free boundary is a porous set and,
consequently, is of Lebesgue measure zero. For rotationally invariant
operators, we also derive the limiting free boundary condition.
