Posted on the Facebook page of the mayor of Seoul, he wrote;
Today I met with Jeffrey Chernov, producer of Star Trek 3, at the Paramount Pictures Studio and agreed to film a portion of the upcoming movie in Seoul.
TrekMovie also reports that all the Enterprise sets will be rebuilt from scratch in Vancouver and will save money as rebuilding turns out to be cheaper than shipping and redressing.
Another reason for shooting in Vancouver is due to the very generous tax incentives being offered, saving the film potentially tens of millions of dollars. Bad Robot has filmed there multiple times with TV shows Fringe, Almost Human and films including Mission Impossible: Ghost Protocol.