Accounts can only be migrated one time from the Xbox 360 to the Xbox One or the PS3 to the PS4. You can not migrate characters from Xbox to PS or vice versa.
Hope this helps, VirtualStorms
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Edited by JimJamJamie: 9/26/2016 3:17:09 PMThanks for your reply, but my problem is not cross-platform migration - sorry for the confusion. Maybe a better question to ask is: Is the Account Import process a 'one-time' event [i]per platform[/i] (XBL [b]or[/b] PSN) or for [b]all[/b] platforms on a bungie.net account? Like, when I accepted to the Account Import on my Xbox One, has that triggered the import process on PS as well?
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You should be able to migrate to the new console on each of your consoles.