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We investigate numerically the behavior of a two-component reaction-diffusion system of FitzHugh-Nagumo type before the onset of subcritical Turing bifurcation in response to local rigid perturbation. In a large region of parameters, initial perturbation evolves into a localized structure. In a part of that region, closer to the bifurcation line, this structure turns out to be unstable and undergoes self-completion covering all the available space in course of time. Depending on the parameter values in two-dimensional space this process happens either through generation and evolution of new structures or through the elongation, deformation and rupture of initial structure, leading to space-filling non-branching snake-like patterns.