We have found one software suitable in our database for this conversion.
Microsoft Visio supports many vector formats for export purposes, including the SVG format (XML based graphics). You can access this function via the default export function. Since shape files from Visio (.vss) are rarely supported outside the program, this is probably one of the few (maybe the only) viable choices for this conversion.
Updated: July 22, 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.