Volcanic activity can induce flank failure, sometimes generating large earthquakes and tsunamis. This study uses satellite imagery and inverse modeling to analyze 57 magmatic intrusions at Piton de la Fournaise volcano between 1998 and 2020. A major arcuate dyke intrusion zone is connected to a sill intrusion zone, forming a spoon-shaped structure. This structure shows a continuum of displacement, from no slip to sheared sills and pure slip. Repeated intrusions into this structure could trigger catastrophic collapses.