Pulling damper and not remove the radiator, on 300 touring
 

What's the proper tool that permit to pull the damper with no need to remove completely the radiator or the radiator grill?

remove the fan assembly only then go to autozone and borrow there chrysler harmonic balabcer removal tool. They will try to give you a 3 jaw puller but that is to long. The one you need has 2 or 3 shafts in it and the claws are only 2 inches long and have a pin you pull to remove the claw.

Can't go to Autozone because i live in italy, i'm italian...
Do you mean this tool?:
Pully Puller GM, Chrysler and Mitsubishi AST7822

And what about this other tool?:
Save on OTC Tools 6075 at ToolTopia.com

the first one is what I used

ok, and what tool you used to re-install the damper on the crankshaft?