  By studying numerically the phase-ordering kinetics of a two-dimensional
ferromagnetic Ising model with quenched disorder -- either random bonds or
random fields -- we show that a critical percolation structure forms in an
early stage and is then progressively compactified by the ensuing coarsening
process. Results are compared with the non-disordered case, where a similar
phenomenon is observed, and interpreted within a dynamical scaling framework.
