In this work, we introduce a wave-pinning mechanism in the bistable Schlögl model. Wave-pinning is induced by dynamically varying the unstable fixed point with a spatial global feedback. We present numerical simulations of the model in one and two dimensions for typical parameter values. The wave-pinning mechanism presented here can be used to reproduce the limited presence of phosphatidylinositol (3,4,5)-trisphosphate (PIP3) in the membrane of Dictyostelium discoideum cells, which plays a crucial role in the polarization and motility of the cell.