Batch importing CAD models into COMSOL?

I'm using SIEMENS NX to create the CAD model which will subsenquently be imported into COMSOL for further simulation. Each CAD model is exactlly the same except for one parameter value. So it's a parameter study. My questions are:

1. Is there a LiveLink between SIEMENS NX and COMSOL?
2. If not, is there a function in COMSOL that can batch import CAD models and simulate one by one?
3. If this function does not exist, can this be achieved by some codes?

Thanks in advance.

Zhang Ze