We consider the simple random walk on the infinite cluster of a general class of percolation models on ℤᵈ, d ≥ 3, including Bernoulli percolation as well as models with strong, algebraically decaying correlations. For almost every realization of the percolation configuration, we obtain uniform controls on the absorption probability of a random walk by certain "porous interfaces" surrounding the discrete blow-up of a compact set A. These controls substantially generalize previous results obtained in "Solidification of porous interfaces and disconnection" (J. Eur. Math. Soc., 2020) for Brownian motion in ℝᵈ and in "Disconnection and entropic repulsion for the harmonic crystal with random conductances" (Commun. Math. Phys., 2021) for random walks on ℤᵈ equipped with uniformly elliptic edge weights to a manifestly non-elliptic framework. This talk is based on the recent work "Solidification estimates for random walks on supercritical percolation clusters" (Potential Anal., 2026) and an ongoing project.