I'm not really sure if it is a control or something which is exclusive to VoIP / Call Applications but I would like to be able to run a task in the background and display the progress minimized to the system tray just like an active call minimizes itself in Phone / Viber or other Voip apps.
Please see the below picture:
Instead of "Active call duration and contact name", could I possibly use it to show progress for ex - "Downloading XX%..."
and then the user could tap to return back to the application?
You cannot.
Voip Apps have a special access to the call UI overlay, as documented here: http://msdn.microsoft.com/en-us/library/windows/apps/jj206983(v=vs.105).aspx