Both sides had already qualified for the knockout stage of the Champions League and all that was at stake was first or second place in the group.
Phil Neville scored the decisive spot kick to give Everton a 4-3 penalty shootout win over holders Chelsea after their FA Cup fourth-round replay ended in a 1-1 draw after extra time at Stamford Bridge on Saturday.
Chelsea beat Everton 1-0 in the second leg of their semi-final will meet Tottenham Hotspur in next month's League Cup final.
Last season's beaten finalists Arsenal travel to Blackburn Rovers, while Manchester City play Tottenham Hotspur and West Ham United host Everton in the other games.
Holders Manchester City beat Chelsea 1-0 with a late Bernardo Silva goal on Saturday to reach the FA Cup final after an absorbing end-to-end Wembley semi-final left the exhausted winners still chasing a domestic double.
Lionel Messi fired Barcelona into the last 16 of the Champions League with two goals in their 3-0 victory at Spartak Moscow on Tuesday but holders Chelsea are walking a tightrope after a crushing defeat by Juventus.
Holders Chelsea eased into the FA Cup quarter-finals with a 4-1 home victory over Championship (second division) side Cardiff City on Saturday while Portsmouth won by the same score at local rivals Southampton. After a season of shocks, the upsets dried up in the fifth round as Birmingham City came from behind to win 2-1 at Championship side Derby County with a last-minute goal by Liam Ridgewell while Manchester City and Stoke City drew 1-1.
England left back Ashley Cole will miss holders Chelsea's Champions League Group E game at home to Shakhtar Donetsk on Wednesday because of a hamstring injury.
Holders Chelsea should have striker Demba Ba and defender Ryan Bertrand available for Sunday's FA Cup semi-final against ManchesterCity at Wembley.
Holders Chelsea needed a late equaliser by Salomon Kalou to snatch a 1-1 draw that kept them in the FA Cup after a Louis Saha header had put Everton on course for a fourth-round upset at Goodison Park on Saturday.
Chelsea snatched an injury-time winner and a 2-1 victory over Everton in their League Cup semi-final first leg.
Holders Chelsea will face Premier League opposition in the third round of the FA Cup after Sunday's draw gave them a tricky start to their defence away to Southampton.
Holders Chelsea made light of their off-pitch problems to reach the Champions League quarter-finals by beating Lille 2-1 away on Wednesday to complete a 4-1 aggregate victory.
Holders Chelsea came from two goals down to draw 2-2 with Manchester United on Sunday and earn a replay of their FA Cup quarter-final, inflicting further pain Alex Ferguson's side who have endured a week to forget.
Chelsea came from behind three times to overhaul Manchester United 5-4 after extra time and book a spot in the League Cup quarter-finals on Wednesday, earning sweet revenge for Sunday's controversial 3-2 league defeat.
The BBC reported that the incident took place when South Korea international Son went to take a corner in the second half of the August 14 game, which ended in a 2-2 draw.
Six clubs enter this week's final round of Champions League group matches harbouring hopes of grabbing one of the three last-16 places still up for grabs although for holders Chelsea their fate is beyond their control.
Holders Chelsea advanced to the semi-finals of the FA Cup with a 2-0 home win over Stoke City while Aston Villa joined them after coming from 2-0 down to win 4-2 at Reading with a John Carew hat-trick on Sunday.
Bayern Munich made it 16 wins from 16 games this season to underline their credentials as early Champions League favourites, beating holders Paris St Germain 2-1 away as Luis Diaz scored two goals and was shown a red card on Tuesday.
New-season optimism may be offset by old concerns for champions Manchester United and FA Cup holders Chelsea when they meet in the curtain-raising Community Shield.
IMAGES from the Premier League matches played on Wednesday.
Manchester City clinched a 1-0 victory at Tottenham Hotspur, while Chelsea were held to a 0-0 draw at home by Aston Villa.
Holders Real Madrid will play 2021 winners Chelsea in the Champions League quarter-finals while Manchester City's Pep Guardiola will visit his former club Bayern Munich.
The three Premier League and three La Liga clubs in the last eight avoided each other, with Manchester City up against Atletico Madrid and Liverpool to face Portuguese side Benfica.
A summary of Wednesday night's action in the UEFA Champions League.
Holders Real Madrid breezed past Chelsea into the semi-finals of the Champions League with Rodrygo's double securing a 2-0 win at Stamford Bridge.
Holders Liverpool survived a penalty shootout to see off third-tier Derby County
The British Govt amended the Special License enabling Chelsea FC to sell tickets to select competitions to fans
Romelu Lukaku scored for Chelsea in a 5-1 FA Cup third-round victory
Local hero Burn gave Newcastle a deserved lead in the 45th minute when the defender thumped in a header from a corner.
A summary of Saturday's action in the FA Cup third round.
On Tuesday the consortium, which agreed terms to acquire Chelsea for 4.25 billion pounds ($5.33 billion) earlier this month, passed the Premier League Owners' and Directors' Test.
Chelsea will look to make amends after being runners-up to Leicester City and Arsenal in the last two seasons
Tottenham have not won any silverware since they beat Chelsea in the 2008 League Cup final.
Images from the English Premier League matches on Saturday.
Karim Benzema's hat-trick earned Real Madrid a 3-1 win at reigning European champions Chelsea in their Champions League quarter-final first leg on Wednesday. In another quarter-final match, Villarreal stunned six times European Cup winners Bayern Munich 1-0.
Liverpool flirted with what would have been an embarrassing low in their poor start to the season as they were taken to penalties by fourth tier Carlisle United, but came through to reach the League Cup fourth round on Wednesday.
Federico Valverde finished off a stunning move in extra time to give Real Madrid a 3-2 victory over arch-rivals Barcelona
Gerard Moreno -- who scored against Manchester United before the Europa League final in Gdansk went to penalties -- rescued Unai Emery's side in the 73rd with a side-foot finish after a back-heel from Boulaye Dia.
The League Cup final at Wembley Stadium on Sunday could represent one small step for holders Chelsea but one giant leap for Tottenham Hotspur.