We have found one software suitable in our database for this conversion.
You can import vector graphics from SVG files (XML graphics) to MS Visio and use the vectors for shapes that can be used for making objects or diagrams in the program. This seems to be the only reliable way to achieve svg to vsdx conversion and can be simply achieved by the programs File ► Save as.. menu.
Updated: September 20, 2016
A diagram application, that uses vector graphics to create diagrams. Microsoft Visio is distributed as part of Microsoft Office Family and also available as a subscription through Microsoft Office 365. The latest version is Visio 2016 that is compatible with Windows 7, Windows 8 and Windows 10.