The Chilean admitted after netting a treble in Wednesday's crucial Champions League win that he is very close to signing a new contract with the club
The Chile international converted twice from the penalty spot before turning home a superb header to secure a valuable three points for the Bianconeri, after Olof Mellberg had levelled matters early in the second half.
"It's the first hat-trick of my career and I'm taking the ball back home as a gift for my son, to show him when I played this game. We're expecting a little girl now, too, so I'm very happy," Vidal told Sky Sport Italia.
"There was some fear, as we knew this was an important game for us, but the coach told us the important thing was for us to win."
Vidal's performance further underlined his versatility for Juventus after he played in defence in the weekend win over Livorno, and the 26-year-old claims his excitement at donning the Bianconeri colours plays an important part in his form.
"I think an important quality of mine is that I am always very happy," he mused. "I know how important it is for me to wear the Juventus shirt and I always try to give my all.
"I haven't played in goal yet, so the coach might try me there!"
Vidal also went on to stress he is very close to signing a new deal with the club that would extend his contract beyond 2016.
"There is very little to go until we sign the new contract. I could sign it tomorrow [Thursday] or the day after, I'm just waiting for the club," he added.
Wednesday's win - coupled with Galatasaray's 4-1 thrashing at the hands of 10-man Real Madrid - means Juventus need just a point in Istanbul to book their place in the next round, but striker Fernando Llorente has warned of the difficult task that awaits his side in their final match.
"We have to go to Turkey, where we will play a tough game. A good game won't be enough; we'll have to play a perfect match," said the Spaniard.