The victory, Chelsea's 28th of the season, put the long-time league leaders 10 points clear of second-placed Tottenham Hotspur, who have only three games left to play.
Chelsea beat Arsenal 3-2 in a pulsating London English Premier League derby on Saturday with defender Marcos Alonso scoring an 81st-minute winner after the Gunners had fought back from an early 2-0 deficit.
Manchester United, buoyed by five successive Premier League victories, head into Sunday's derby against Manchester City a place and a point above their rivals and believing they are poised to restore red ascendancy in the city.
With no European prizes left to chase this season, England's top clubs are focussed on winning the Premier League title, although that goal looks beyond all but Chelsea.
The 19-year-old Mbappe followed up a domestic treble with Paris St Germain with a string of impressive performances in France's World Cup winning campaign.
News of all that's transpired on and off the football field
Belgium paid the price for failing to take their chances against France
It took Harry Kane four years to become an overnight sensation at Tottenham Hotspur and with a Young Player of the Year award as a full England international.
Spaniard Pedro scored twice as Chelsea tightened their grip on top spot by sweeping past Bournemouth 3-0 on Monday, a club record 12th successive Premier League win taking them seven points clear.
Chelsea may have restored some breathing space over Manchester City with a 2-0 win over Newcastle United on Saturday but they have not regained the form that made them runaway title favourites earlier in the season.
News of all that's transpired on and off the football field
Tottenham Hotspur denied Chelsea a record 14th consecutive Premier League win and loosened their grip on the title race as two Dele Alli headers secured a 2-0 victory.
Glimpses from Sunday's Nations League matches.
Rewind five years and Liverpool hosted Chelsea with three games remaining, knowing victory would have left them six points clear and a first league title since 1990 almost secure.
Real Madrid's Karim Benzema rescued his side again by scoring two late goals to snatch a 2-1 win at home to Elche in La Liga on Saturday and revive his side's hopes of catching leaders Atletico Madrid.
Southampton suffered an embarrassing 1-0 League Cup quarter-final defeat at third tier Sheffield United on Tuesday while Chelsea powered through with a 3-1 win at Derby County.
Newcastle United's Papiss Cisse struck twice in a 2-1 victory against English Premier League leaders Chelsea.
Liverpool and champions Manchester City drew 0-0 at Anfield while Chelsea and Arsenal enjoyed comfortable away wins. City are top on goal difference from Liverpool and Chelsea with Arsenal two points behind.
Jose Mourinho will have no qualms about frustrating entertainment-hungry Manchester United fans if it means securing a win on his return to Stamford Bridge on Sunday.
Champions Real Madrid were beaten at home by promoted Cadiz, while Barcelona fell to their first defeat in La Liga under new coach Ronald Koeman as they lost to Getafe.
Heavyweight trio Manchester City, Manchester United and Chelsea kept up their 100 per cent starts to the Premier League season this weekend.
A superbly-executed strategy by coach Antonio Conte helped Italy to a deserved 2-0 win over Belgium in their Euro 2016 opener with outstanding goals by Emanuele Giaccherini and Graziano Pelle on Monday.
Chelsea manager Jose Mourinho said he has "fantastic" medical staff but the club's first team doctor Eva Carneiro will not be on the bench against Manchester City on Sunday following her treatment of an injured player in a Premier League match.
Chelsea manager Antonio Conte was fuming at the final whistle after Pedro and Alvaro Morata were dismissed in extra time and two penalty appeals had been waved away, but the Premier League champions regained their composure to win the shootout 5-3.
Poland midfielder Grzegorz Krychowiak has signed a five-year contract with Paris St Germain, the French champions said in a statement on Sunday.
John Terry embellished his status to Chelsea fans as "captain, leader, legend" by scoring the goal that set his side on the way to a 2-0 win over Tottenham Hotspur in the Capital One Cup final at a rain-sodden Wembley on Sunday.
Defensive errors were again a common occurrence in the Arsenal backline, but Fiorentina failed to take advantage.
The stadiums at Qatar offer plenty of wisdom and chutzpah on how to take our own lives forward.
Images from the English Premier League match played between Chelsea and Stoke City on Monday
Belgium rediscovered their most blistering form to batter group E rivals Ireland 3-0 thanks to a brace from Romelu Lukaku and an Axel Witsel header on Saturday.
There was no way through for Chelsea as Watford halted their recent resurgence in a goalless Premier League stalemate at Vicarage Road while Everton piled more woe on Newcastle United with a 3-0 victory on Wednesday.
A summary of sports events and sports persons, who made news on Tuesday
A makeshift England side beat Romania 1-0 in their final Euro 2020 warm-up game, while Belgium's Romelu Lukaku underlined his status as one of the world's top strikers with his 60th international goal to secure a 1-0 win over Croatia.
Chelsea put all their struggles away and looked like a renewed squad, stamping their class over Crystal Palace in their English Premier League match at the Selhurst Park on Sunday.
A 64th-minute goal from wayward striker Diego Costa earned Chelsea their first win in four Premier League matches on Saturday and some breathing space for Jose Mourinho, who said he was still targeting a top-four finish.
The destination of the Premier League trophy will not be decided when current champions Chelsea meet their immediate predecessors Manchester City.
A stoppage-time goal from Miranda gave Brazil a 1-0 win over South American rivals Argentina in a foul-strewn friendly, while Netherlands secured a 1-1 draw at neighbours Belgium.
A summary of Saturday's action in Serie A and La Liga.
The Premier League season is only a week old and the problems are already piling up for misfiring champions Chelsea after a 3-0 thrashing at Manchester City on Sunday.