There was a download of Autodesk FBX Plug-in - 3ds Max Design 2011 2013.1 on the developer's website when we last checked. We cannot confirm if there is a free download of this software available. The program lies within Photo & Graphics Tools, more precisely 3D Design. The most popular version among the program users is 2013.1. We recommend checking the downloaded files with any free antivirus. The actual developer of the free software is Autodesk.
From the developer:
The Autodesk® FBX® plug-in allows all types of data to be packaged into one file format that can be used by most of today's 3D authoring software. The software is available as a download for both 32 and 64 editions of Windows software. For all products above 2010 there is support for different versions of the software.
You may want to check out more software, such as Autodesk 3ds Max Design, Autodesk 3ds Max Design 2010 Tutorials Files or Autodesk 3ds Max Design 2011 32-bit Components, which might be related to Autodesk FBX Plug-in - 3ds Max Design 2011.