Ueli,
It is not possible to run batch mode simulations using TINA-TI.
Likewise TINA-TI cannot interact with other tools like MATLAB or Excel.
If you want to look at sim results in another tool, you must export the plotted curves to a text file (File/Export/As text in the plot window) and then import the file into MATLAB or Excel.
It is not clear what is meant by simulations with variable parameters.
You can do DC sweeps with TINA-TI, but it is not possible to do Monte Carlo simulations.
Please let me know if you have any more questions.
Regards,
John