US billionaire Dan Friedkin bought AS Roma, the Serie A club, for 591 million euros ($700 million) from American businessman James Pallotta.
It was Juventus's second consecutive defeat since sealing a ninth Serie A title in a row, just days before their Champions League campaign resumes against Lyon.
AS Roma's chief strategy officer said in a statement that "not being racist isn't enough" and that people have to be anti-racist.
Former Italy and Roma legend Francesco Totti said he will not step inside the Roma training ground while James Pallotta remains president of the club.
The Serie A match in the San Siro had been overshadowed by a racism storm after Italian sports daily Corriere dello Sport's controversial headline.
Davide Zappacosta has joined Roma on a six-month loan deal with an option to extend until the end of the season.
The 35-year-old former World Cup winning midfielder will play his final game at home against Parma on May 26, but will not be retiring from professional football.
VAR was initially set to be rolled out in the Champions League from the start of next season. However, it will now make its debut six months earlier than anticipated.
AS Roma overtake city rivals Lazio to move into fourth place in Serie A.
Real Madrid confidently launched their pursuit of a fourth successive Champions League title with a 3-0 win over AS Roma.
Bale and Marco Asensio scored for Real Madrid who put on a strong performance especially in the first half of the International Champions Cup friendly at MetLife Stadium in New Jersey.
Malcom had been expected to arrive in Rome on Monday night for a medical on Tuesday but had his flight cancelled by the Ligue 1 outfit at the last moment.
The 21-year-old had been a reported target for several European clubs.
Alisson is a key signing for Jurgen Klopp who was desperate for a new goalkeeper to replace Loris Karius.
Juventus became the first team to complete the league and Cup double for four consecutive seasons.
Inter Milan's defeat to Sassuolo means third-placed AS Roma are sure to finish in the top four and return to the Champions League.
Liverpool held off a spirited Roma fightback to reach the Champions League final 7-6 on aggregate despite losing a hectic semi-final second leg in Rome on Wednesday.