The north London side enjoyed the majority of possession at White Hart Lane against their Italian opponents and saw three goals ruled out by the officials.
And, though Villas-Boas later rued those decisions as Spurs got their Europa League campaign underway with a draw, he had nothing but praise for his players.
“I am extremely happy with the performance and the effort the players put in," the Portuguese told ITV.
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“But it shows we are on the right track to giving something to the fans. But against a team that is doing extremely well, we were superior.”
The Portuguese gave Clint Dempsey and Hugo Lloris their full debuts, while also handing Steven Caulker his first start of the season.
And it was the academy product, who last played in a 4-2 League Cup defeat to Arsenal, who most impressed Villas-Boas.
“Spurs always promote young talent and young talent is coming through,” the manager added.
“Andros [Townsend] had a few more minutes today and Caulker was amazing in central defence, very, very steady against one of the best strikers in the world.
“So you see good things with [Kyle] Walker, [Kyle] Naughton, [Gareth] Bale, you see players who have been well taught in their education and it is extremely good to see that.”