Mbappe struck in the 74th minute to put PSG on 80 points from 29 games and on the brink of retaining the title with second-placed Lille, who beat Nantes 3-2 away earlier on Sunday, still 20 points behind having played a game more.
Juergen Klopp will leave Borussia Dortmund at the end of the season after a seven-year reign as coach which delivered two Bundesliga titles and a Champions League final.
Karim Benzema scored his sixth goal in four games as Real Madrid beat Alaves 3-0 on Sunday for a fourth successive La Liga victory which took the European champions to within eight points of leaders Barcelona.
Napoli began their Europa League group stage campaign in scintillating fashion.
Liverpool handed their fiercest rivals a painful lesson on Thursday with a dominant 2-0 win over Manchester United in the first leg of a Europa League last-16 clash.
News of all that's transpired on and off the football field
Celta Vigo thrashed Barcelona 4-1 on Wednesday with Iago Aspas hitting a double.
Liverpool added another fairytale comeback to the history books as they fought back from 3-1 down against Borussia Dortmund to reach the Europa League semi-finals after Dejan Lovren's towering stoppage-time header secured a 4-3 win on Thursday.
A summary of Thursday night's UEFA Champions League matches.
Real Madrid edged past Sporting Lisbon 2-1, while Juventus came from behind to secure a 3-1 win at Sevilla and Borussia Dortmund crushed Legia Warsaw 8-4 to set a record for the most goals scored in a Champions League match.
Photos from the Champions League matches played across Europe on Tuesday
Images from Champions League matches played across Europe on Tuesday
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