XFile should work in 32-bit IE on a 64-bit OS. What exact version of XFile is installed? What is the version of IE? Are you using XFile's visual or non-visual control? Can you reproduce the problem with our samples?
Apologies for the delay. Can you please tell us the complete version number of XFile? There have been many minor releases of version 2. We need to exact build number. Go to Tools>Manage Add-Ons. In the "show" dropdown, select "All add-ons". Find XFile and Select "All Add-ons" Add the "Version" column if it isn't showing and please tell us what you see.
Have you tried uninstalling and reinstalling XFile on this client machine? See this KB article: Install or Uninstall XFile
Sorry for the delay. That is a very old version. Is upgrading a possibility? The current version of XFile is 2.5.3. Here is a page that lists all the changes that have been made in the product: http://support.softartisans.com/support-114.aspx Nothing was specific to IE9 on 64-bit machines, but IE9 didn't even exists and most people weren't using 64-bit machines when the version you are using came out.
You can find information about how to purchase an upgrade here: http://fileup.softartisans.com/fileup-pe-xfile-upgrades
Please let us know if upgrading resolves the problem.