Methods and systems for providing a virtualization instance on an apparatus access to external primary memory, where the external primary memory is memory that is external to the apparatus but primary memory to the apparatus. Methods and systems to migrate a virtualization instance from a first client to a second client are provided in which memory of the virtualization instance is copied to from a first region to a second region without being copied to or from the first client or the second client. Methods and systems are provided for limiting local primary memory usage by a virtualization instance. After the flushing or the shooting down a translation lookaside buffer, a selected memory portion corresponding to a page table entry is marked dirty based on a portion-tracking data structure indicating that the page table entry for the selected memory portion was dirty when the selected memory portion was unmapped.