Gomorra film actualized Italian music (Raffaello - La nostra storia)

Recently I was checking Italian films and found short documentary about Roberto Saviano on Netflix. This best-selling author wrote Gomorrah, debut novel that brought him fame. But not only fame, also danger, so he lives with 24/7 police protection, because Mafia was not happy what he wrote and said and threaten to kill him.

Based on his novel there is Gomorrah film (2008) and Gomorrah (TV series) (2014 - 3 seasons).

In the beginning of the film I found this music which I liked and used Shazam to find it's author, and it is Raffaello. Song is called "La nostra storia"

You can also listen to the song in full

And even check clip which is not in very good quality

Or you can check live version

So as you probably understood I listened to the song many times.
And if you read to this line, may be you too?

Even with my small knowledge of Italian I understood that subject of song is completely different than Gomorra film, and I decided to translate it to English.
Google Translator did well, so I'm not even asking Italian friends to correct something, here is the text:

Doll
dreams still open eyes. You are magical
princess of my dreams you are a fairy tale
a love programmed for the two of us

Instants
where the heart runs and overcomes obstacles
feelings that cover us with chills
because we are in love
this chocolate love
the taste of the lips you have

Our story seems written by a cartoon on TV
you a girl in love but spoiled a little more
with your dreams in the drawer you repeat me very often
ca cu me vuò realized.

Too jealous but I swear I like you the way you are
synchronized to this love until 3003.
I who love you to die live suament
and you and you are crazy and me

Tales
where everything is colored ...
they are fables ...
and if you look up you can not see the clouds anymore ...
It looks like a rainbow
a colorful story this sweetened love for the two of us

Our story seems written by a cartoon on TV
you a girl in love but spoiled a little more
with your dreams in the drawer you repeat me very often
ca cu me vuò realized.

Too jealous but I swear I like you the way you are
synchronized to this love until 3003.
I who love you to die live suament
and you and you are crazy and me