The result kept Man United at the top of the table, but arguably the biggest benefactors were Manchester City, who moved to within two points of their local rivals - with a game in hand - courtesy of a 4-0 thrashing of Crystal Palace shortly after that Merseyside stalemate.
Saturday's two local derbies resulted in significant away victories as relegation-threatened West Bromwich Albion beat Wolverhampton Wanderers in a topsy-turvy Black Country derby and Chelsea edged past 10-man Fulham at Craven Cottage.
There were also away wins for Brighton & Hove Albion over Leeds United and Tottenham Hotspur at rock-bottom Sheffield United, while West Ham United, Leicester City and Arsenal helped themselves to home wins.
Here, Sports Mole selects its Premier League team of the week for gameweek 19.
Liverpool's match with Man United was certainly an anti-climax for the neutrals, but for United fans it was close to being a perfect day. The visitors had the two best chances of the afternoon at Anfield, but found Alisson Becker in their way on both occasions as the Brazilian's two saves from point-blank range kept Liverpool's unbeaten home run alive.
At the other end in that game, Luke Shaw put in one of the best performances of his Man United career to nail down the left-back role in this team, giving first Mohamed Salah and then Sadio Mane no joy at all down Liverpool's right flank.
It is not often that a defender is chosen in this XI after conceding three goals, giving away a penalty and ending up on the losing side in a fierce derby, but that is the case with Willy Boly this week. The Wolves centre-back was heavily involved in both boxes and, while the day ultimately ended in disappointment for him, he did help himself to a goal and an assist.
It was a competitive week for centre-backs this week, with Semi Ajayi, Thiago Silva, Angelo Ogbonna, Ben Mee and Ruben Dias all worthy of mentions, but it was impossible to leave out the latter's clubmate John Stones after his brace in Man City's win over Crystal Palace.
It is an attacking and creative midfield in this week's team, with Leicester's Youri Tielemans playing in the holding role after assisting both of Leicester's goals in the win over Southampton.
Declan Rice and Thiago Alcantara deserve mentions, while Tanguy Ndombele is also very unlucky to miss out on a place in this week's team - not only for his outrageous lob but also for his all-round display.
Kevin De Bruyne was a shoo-in, though, having run the show for Man City once again, chalking up his 100th assist for the club along the way in sublime fashion.
A tight West London derby was ultimately decided by Mason Mount, who not only scored the winner but also hit the woodwork and created seven chances in the game - the joint-most by a Chelsea player in a league match so far this season.
Two-goal Matheus Pereira is unfortunate to miss out after his own derby heroics, while honourable mentions should also go to Harvey Barnes, Raheem Sterling, Michail Antonio and Emile Smith Rowe in the forward areas.
Arsenal do provide two of an all-North London front three, though, with Pierre-Emerick Aubameyang finally rediscovering his goalscoring touch with a first brace since last season's FA Cup final and Bukayo Saka getting Arsenal's other goal to cap off another reputation-boosting display.
Harry Kane leads the line after scoring once again in the win over Sheffield United - making it 10 goals in his last six Premier League visits to Yorkshire.