Thank you Mick! I can try this method on my P2. I don't have the brasso, but I hope that rubbing the excessive ink out with a soft cloth will do the job.

EDIT: I'm going to use a 0,1 mm marker pen, and covering the area that surrounds the logo with duct tape, to avoid any kind of excessive ink. Luckily I just have to restore few letters, such as part of the P and the lower part of the "u", "s" and "a". Hopefully the logo should turn out well.

EDIT 2: I've bought the marker and after two minutes, here's the restored logo. It looks waaaaay better. Thank you Mick!
Before:

After:
