Symptoms

FME cannot be extended into AutoCAD Map 3D. 
1. Using the FME Integration Console there is no entry for AutoCAD Map 3D
or
2. After extending FME into AutoCAD Map you get an error when trying to use the
ribbon item: Output -> Map3D Export
Error may say:
Module AcMapImpExpUI.arx cannot load module AcMapImpExp.arx
 
 

Cause

AutoCAD Map 3D Version 2011 or later is a 64 Bit application and 64 Bit FME must be used.
Training licenses are not compatible with the OEM licensing required by AutoCAD Map 3D.

Resolution

1. If you are using a 64 Bit Version of AutoCAD Map 3D ensure you are using a 64 Bit FME if you want to extend it into AutoCAD Map.
Note: You can have both 32 bit and 64 Bit Versions of FME installed at the same time.

2. Ensure you are not using a 'Training' or 'Generic' type license obtained from an FME course or as part of an FME Evaluation.

3. Extend FME into AutoCAD Map 3D using the FME Integration Console