In one embodiment, a method of intermingling stereoscopic and conforming virtual content to a bounded surface is performed at a device that includes one or more processors, non-transitory memory, and one or more displays. The method includes displaying a bounded surface within a native user computer-generated reality (CGR) environment, wherein the bounded surface is displayed based on a first set of world coordinates characterizing the native user CGR environment. The method further includes displaying a first stereoscopic virtual object within a perimeter of a first side of the bounded surface, wherein the first stereoscopic virtual object is displayed in accordance with a second set of world coordinates that is different from the first set of world coordinates characterizing the native user CGR environment.