In aspects of adaptive grip suppression, a wireless device has a display screen with curved display edges to display a user interface associated with a device application, the user interface including a selectable element to initiate a device application action. The wireless device implements an adaptive control module to adaptively manage grip suppression in the curved display edges of the display screen, which limits the device application action from being initiated based on inadvertent touch inputs on the selectable element. The adaptive control module can determine that the selectable element of the user interface is displayed within a region of a curved display edge of the display screen, and decrease the grip suppression in the region of the curved display edge proximate the selectable element of the user interface.