- Man Utd
Rochdale, who had opened the scoring on the stroke of half-time, equalised when substitute Steve Davies scored from 12 yards in the third minute of stoppage time.
Juventus coach Massimiliano Allegri believes the Italian football champions will approach the return leg in London like a final.
Liverpool moved back above Tottenham Hotspur into third and to within two points of bitter rivals Manchester United in second.
Harry Kane's latest heroics also made it sweet revenge for Tottenham after they were beaten at Arsenal earlier this season.
Tottenham will now travel to third-tier strugglers Rochdale for a FA Cup last-16 tie on the weekend of February 17-18.
Liverpool remain in third place, while Tottenham Hotspur are two points behind Jurgen Klopp's side in fifth.
Just five points now separate Manchester United in second from Tottenham Hotspur in fifth.
Tottenham Hotspur ensured the focus switched back to the pitch, stunning Jose Mourinho's Manchester United with a performance full of attacking verve in a 2-0 win.
The result moves Spurs to within two points of fourth-placed Liverpool, who have a game in hand, but it was not enough to lift Southampton out of the relegation zone.
Saturday's late kick-off saw England forward Kane score his 98th Premier League goal and surpass Teddy Sheringham's previous club record of 97.
Raheem Sterling scored the fastest goal of the Premier League season as leaders Manchester City got back on track with a 3-1 win against Watford on Tuesday
Manchester United came from two goals down to rescue a dramatic 2-2 draw against Burnley thanks to Jesse Lingard's double.
Harry Kane's second goal took him to 55 for club and country in 2017 -- lifting him above Barcelona's Lionel Messi (54 goals).
Harry Kane took his goal tally in the Premier League to 36 for the calendar year, equalling the record set by Alan Shearer with Blackburn Rovers in 1995.
Manchester City's thumping win over Tottenham Hotspur provisionally sent Pep Guardiola's men 14 points clear at the summit.
Manchester City's win at Swansea made them the first team in the history of English league football to have won 15 games in a row.
Though Harry Kane scored twice, Son was the star of the show, scoring one goal and having a say in four others
Young's first United goals since May 2016 were followed by an Anthony Martial strike as United produced a scintillating first half at Vicarage Road.