Office 365 - SharePoint 2013 - Cannot open Word / Excel files locally : ms-word:ofe|u|https:// ms-excel:ofe|u|https://

Symptom : Using Office 365 / SkyDrive, when you try to open a remote Excel/Word file from a Document Library (or Skydrive) you get a blank page with this kind of URL :

ms-word:ofe|u|https://xxx.sharepoint.com/myDoc.docx
ms-excel:ofe|u|https://xxx.sharepoint.com/myExcelDoc.xlsx

Word / Excel are not launched to open the file as expected.

Explanation : It's due to a conflict between Office 2013 and Office 2010 components.
Precisely it's due to "Microsoft SharePoint Foundation Support" wich is installed with some Office 2013 softwares (such as Project 2013 or SharePoint Designer 2013)

Solution 1 : Violent solution

• You can uninstall Office 2013 softwares 
• Then repair Office 2010 (a reboot is needed)

Solution 2 : Cleaner Solution (with Project 2013 or SharePoint Designer 2013)
Maybe you want keep your Office 2013 softwares :)

• You can Modify your Office 2013 software (Add/Remove Programs)
• Uninstall "Microsoft SharePoint Foundation Support"

• Then repair Office 2010 (a reboot is needed)

Solution 3 : Solution with Lync 2013
With Lync Basic 2013 you can't use the Solution 2 (no possibility to uninstall Microsoft SharePoint Foundation Support)

• Use the Microsoft KB Office 365 uninstaller Tool : http://support.microsoft.com/kb/2739501
• Download and run the O15CTRRemove.diagcab tool

• Then repair Office 2010 (a reboot is needed)