A late Robert Pires penalty gave the English side a 1-0 win over 10-man FC Thun in the Champions League.
Barcelona beat Benfica 2-0 in the second leg quarter-final, while Arsenal went through on a 2-0 aggregate after their second leg with Juventus ended goalless.
Kurt Zouma and Eden Hazard scored the goals the goals in a match that saw Diego Costa play central character.
The draw pushed Chelsea up a place into fourth spot in the Premier League, level on points with third-placed Spurs and one point ahead of Arsenal, both of whom have a played a game less.
A summary of Sunday's action in the Premier League.
Van Nistelrooy has to admit or deny the charges by Tuesday, with the case due to be heard on Thursday.
Arsenal must stage one of the most unlikely Champions League comebacks if they are to advance at the expense of hosts Bayern Munich in their round of 16 second leg clash on Wednesday.
Kevin De Bruyne, Kelechi Iheanacho, Raheem Sterling and Ilkay Gundogan gave Man City a 4-0 win over Bournemouth before Nolito was sent off.
Manchester City had to battle back from behind to earn a 1-1 draw against Premier League newcomers Wolverhampton Wanderers who gave the champions a real test at Molineux on Saturday.
Ashley Cole has fanned the flames of his acrimonious departure to Chelsea by accusing Arsenal of betraying him.
Round up of the Champions League matches played on Wednesday.
Barcelona will meet Manchester United in the Champions League quarter-finals following the draw on Friday while Manchester City face Tottenham Hotspur in an all-Premier League clash.
The squad and Tite will gather on Nov. 14 at Juventus' training facilities in Turin, where Brazil will hold a five-day training camp before flying to Doha on Nov. 19.
Arsenal delivered a brutal lesson in fast-paced Premier League football to beat Liverpool 4-1 on Saturday, maintaining their faint title aspirations and almost certainly dashing their opponents' hopes of a top-four finish.
Here is a look at the clubs most likely to give City a run for their money next season.
Manchester United beat Porto 1-0 while Arsenal trounced Villarreal 3-0 in second leg quarter-final matches in the Champions League to make the grade.
UEFA president Lennart Johansson supports the principle that a club winning the Champions League must be allowed to defend their title.
Champions Manchester City slipped to a shock first Premier League defeat of the season at Wolverhampton Wanderers on Saturday, while Manchester United's campaign of woe continued with a loss to Crystal Palace.
Zlatan Ibrahimovic inspired AC Milan to a 4-0 demolition of Arsenal in the Champions League on Wednesday, although the sorry performance of the visitors had as much to do with the scoreline as the volatile Swede's brilliance.
Arsenal manager Arsene Wenger has told his players to watch out for Napoli's quickfire counter-attacks when the two high-flying sides meet at the Emirates Stadium in Champions League Group F on Tuesday.
Arsenal's Eduardo da Silva, playing two days after his diving ban was lifted on appeal, celebrated his reprieve by scoring a late winner in a dramatic 3-2 Champions League win at Standard Liege on Wednesday. The Brazilian-born Croatia striker netted from close range with nine minutes to go, three minutes after Thomas Vermaelen had levelled for the Londoners.
Dortmund's Ciro Immobile hadn't scored since joining the club this season. But while he was getting restless, the striker was asked by coach Juergen Klopp to be patient and persistent.
Manchester United kept their treble dreams alive by knocking Arsenal out of the FA Cup five days after the London side's Champions League exit thanks to a deserved 2-0 quarter-final win at Old Trafford on Saturday.
A review of the weekend action in the leading European leagues.
Arsenal swapped places with champions Manchester United at the top of the Premier League on Saturday after a 3-1 victory at Manchester City preceded United's 1-1 draw away at Tottenham Hotspur.
Images from the EPL matches played on Sunday
Liverpool made it three wins out of three as Mohamed Salah scored twice in a convincing 3-1 victory over Arsenal on Saturday to take control at the top of the Premier League.
Chelsea, Manchester United and Arsenal are all preparing for sudden-death Champions League games.
Villa are sixth, five points behind the leading pair after four matches but have won both home games.
Seven-times champions AC Milan, knocked out of the Champions League by Barcelona in the last two seasons, were drawn against the Catalans again in the group stage of this season's competition on Friday.
Arsenal's resurgent Alexis Sanchez scored twice to help ease their top-four jitters in a 2-0 victory over West Bromwich Albion in the Premier League at a less than full Emirates Stadium on Thursday.
