With the first leg at Old Trafford also ending 0-0, it marked the first time since 1921-22 that both sides failed to score against each other during a league campaign.
Chances were at a premium, but Chelsea as well as Manchester United were guilty of missing some crucial ones late on.
Hakim Ziyech slammed his effort straight at David De Gea from close range, while Scott McTominay failed to make connect with an easy cross for a tap-in. Callum Hudson-Odoi's handball inside the area was excused after a VAR check.
Eventually, the goalless draw seemed like a fair result, as neither side were particularly dominant. But Manchester City were the biggest winners on the day, as they now lead by a whopping 12 points.
On that note, here are the five hits and flops from either team in the match:
Hit: Hakim Ziyech (Chelsea)
While his wait for a goal in the Premier League continued, Hakim Ziyech was impressive against Manchester United.
The Morrocan looked to make attacking runs through Manchester United's backline and also seemed more effective from a creative standpoint.
With five opportunities created, Ziyech was the most dangerous player for Chelsea without scoring, mustering a third of the total shots his side managed on target.
Chelsea boss Tuchel will hope Ziyech can build on this performance going forward.
Flop: Bruno Fernandes (Manchester United)
It was another stinker from the Portuguese star, whose appalling trend of stat-padding against the supposedly lesser teams continued as he produced a no-show against Chelsea.
In what is turning out to be the best season of his career to date, Fernandes has often flattered to deceive when the stakes have been high. Against Chelsea, the Manchester United talisman was once again below par.
Fernandes managed just two efforts on goal, both of which were blocked, while he was also guilty of missing several passes and also got dispossessed once.
While his return of 15 goals and 11 assists in the league is impressive by all accounts, it doesn't tell the whole story; Fernandes ought to do better in big games.