When opening a document from a Project Server 2010 project site in Word 2013, Word cannot retrieve any of the previous versions of the document. I can view the full version history on the project site, but not in Word:
Under Info, Manage Versions, it displays "Server versions could not be retrieved."
Under Review, Compare, Specific Version, the "Versions saved" dialog box is empty.
This worked fine with Word 2010, but not since we upgraded to Office/Word 2013. It will also works on our company Intranet, which is SharePoint 2010. I can take a document from a project site and upload it to our intranet and be able to view the prior versions in Word 2013 - same document that could not retrieve them when opening it from Project Server 2010.