Here's a translation of the Italian parts:
Refrain:
Paulucci, Paulucci, you parrot
you look ugly with your hair cut
What did that cat and mouse do to you?
Now you look like a plucked chicken!

Part 2:
Last night the parrot who fought
has already escaped through the window
Now what did Pepino and Pasqual do?
They locked him in the drawer!

Part 3:
I told you, be careful, you parrot,
when those two give you a caress
If Pepino and Pasqual catch you,
they'll put you in the monnezz! (I think monnezz means trash)