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The striker on Wednesday ended speculation about a potential move to champions Manchester City.
Kane, who has been linked with a move to champions Manchester City all summer, came on in the second half and missed a great chance.
City enjoyed the lion's share of possession but their best chance came early on when Riyad Mahrez sliced wide.
For the fourth successive season, Pep Guardiola's side triumphed in the final of the competition on Sunday with a 1-0 victory over Tottenham.
The news comes the morning after the London club said it was one of 12 clubs forming a breakaway European Super League.
United edged their heavyweight tie with AC Milan as Paul Pogba came off the bench to score the goal that secured a 1-0 win in the San Siro for a 2-1 aggregate triumph.
Goals from Roberto Firmino, Trent Alexander-Arnold and Sadio Mane capped a dominant display by Juergen Klopp's side whose first league win since a 7-0 thrashing of Crystal Palace on December 19 restored their place in the top four.
Pochettino, who played for PSG as a defender in the early 2000s and also captained the side, has been out of a job since being dismissed by Spurs in November, 2019.
Tottenham Hotspu conceded a late goal in a 1-1 draw away to Wolverhampton Wanderers.
Second-half goals by Carlos Vinicius and Giovanni Lo Celso earned Tottenham a 2-0 win over Royal Antwerp as they leapfrogged the Belgians who had also qualified from Group J.
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