You would need to set up the same personal (custom) fields in AMM to receive the imported data. Since I am not familiar with PVD, this is probably a question for the brains at Bolidesoft. But, I don't see why if you have the custom fields existing in AMM, you should be able to import a CSV text from PVD with the same fields included. I recommend making a backup of your AMM database, and then create a different database in AMM to play with the new import from PVD. (This way, you won't lose the progress you have made so far.) I could be wrong, but attempting to mass update your existing database with partial information might be disastrous.
Creating an entirely new database with all of the desired fields would be the safer route to follow. Then again, I have not tackled this type of database creation so this is my best guess. Please let me know how this works for you. I am intrigued.