A method and apparatus provides for the accommodation of display migration among a plurality of physical displays. In one example, the method and apparatus detects a display migration condition from at least a second physical display to a first physical display. The method and apparatus then controls compositing of a plurality of desktop surfaces so as enable access of each one of the plurality of desktop surfaces on the first physical display. The plurality of desktop surfaces include at least a desktop surface associated with the second physical display. The desktop surface is the content in a piece of memory in a frame buffer, which represents all the display content presented on the associated physical display. In one example, the plurality of desktop surfaces may be composited into at least one three-dimensional display object. The three-dimensional display object includes but is not limited to a revolving door object or other three-dimensional shape or object (e.g., a cube object).