System Information
Operating system: Windows 7 64-bit
Graphics card: Geforce GTX 960
Blender Version
Broken: 2.78 & 2.78a
Worked: blender-2.77a-windows64
I made a file with multiple layers, in the first layer I made a sphere.
When I select the sphere, export to FBX and select "Selected Objects" no models get exported.
In Blender I deleted all models except the sphere, did another FBX export and selected "Selected Objects", no models got exported.
Then I did another FBX export and unchecked "Selected Objects", now I see the sphere being exported.