Hi swhit
The answer really depends on the application case. In the case of M21 - FEFLOW coupling, you provide a framework for fully-hydrodynamical coupling. MIKE 21 FM is responsible to solve the 2D hydraulic and send this feedback to FEFLOW. A typical application would be the assessment of flooding events and their interaction with groundwater. Coupling supports mass and heat transport also.
In the case of MSHE - FEFLOW, MSHE looks the problem at the catchment hydrology and supports information not available in FEFLOW, e.g. role of land-use and vegetation in the net recharge estimation, etc. A common application is to estimate groundwater recharge through MSHE and this includes all hydrological cycle. Subsequently such information can be used in a detailed groundwater model in FEFLOW.
We have applied several coupling mechanisms in multiple projects. Let me know if you need more details.
Regards
Carlos Rivera