Despite their numerical advantage, Valencia walked away from a packed Mestalla empty-handed following a pair of Miralem Pjanic penalties.
This was the first time the legend was sent off in 154 Champions League appearances.
The game turned in its head in the 30th minute when Ronaldo was shown a straight in an off-the-ball incident with Murillo.
Now, the pressure of trying to break this wretched run has seemingly fallen nearly entirely on the shoulders of Juve's new superstar: Cristiano Ronaldo.
Juventus responded to the shock in positive fashion and were ahead before halftime. "I spoke with him but I won't say what I told him".
Official Brych pointed to the spot again six minutes after the interval, allowing the Bosnia and Herzegovina worldwide to double the Serie A side's advantage after Murillo had bundled Giorgio Chiellini to the floor.
Once again Neto guessed right but Pjanic's penalty was placed into the corner.
For Juve, it's a great result that puts the team in a fine spot early on, while Valencia will feel like it has to at least get a draw at Manchester United in Matchday 2 to avoid falling too far behind.
The Italian champions defended well thereafter to keep the hosts at arm's length, although Juve goalkeeper Wojciech Szczesny did save a Daniel Parejo spot-kick in the final minute of injury-time.
Bonucci, who was imperious throughout, said Juve's togetherness had helped them prevail in hard circumstances.
"Obviously, I felt I deserved to start the game". "We continued to play our football even with 10 men". The straight red means Ronaldo would miss Juventus' trip to Manchester United, where he spent six seasons from 2003 to 2009 and blossomed into one of the world's best players, on Matchday 3 on October 23.