Here is the link for Grande Punto Elearn. It has some very interesting reading. If you want I can also give you some more information on how the dualogic works. I just need to know which type you have, CFC300 or CFC328.
https://www.fiatforum.com/downloads.php?do=download&downloadid=473
You can try to check the transmission selector in Multiecuscan. Go to parameters and select the A/T transmission position lever, Gear engaged and Gear selected check boxes. See if the A/T transmission position lever, correspond with the other two.
The gear selector use hall sensors to determine the selected position on the gear lever.
Their is one hall sensor for each of the positions on the selector. A magnet is attached to to gear shift lever and creates and magnetic field which excites the sensors. This signal is then coded and sent to the gearbox.
I have tried to upload the file to the Fiat 500 download section.It is being reviewed.
Unfortunately I don´t have any manuals for the gear selector. Elearn has nothing regarding the dualogic. It looks like fiat made supplementary documents for the dualogic. The training manual I do have with the most detail on how to remove the parts is for the CFC300 M20 6 speed gearbox. But even this one does not show how to remove the selector.
To remove the gear selector should be very easy.
Look at elearn to see how to remove the centre console ( i can remove it in 3 minutes)