Diego Costa has accused Chelsea of treating him like a "criminal" in a forthright newspaper interview which will deepen the breach with the Premier League club.
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 have enough experience to keep their composure in the title race after Sunday's 2-0 defeat at Manchester United cut their lead at the top of the Premier League table to four points with six games left, goalkeeper Asmir Begovic has said.
Chelsea, however, were unlucky after they were again denied by the woodwork.
Buoyant Chelsea extended their Premier League lead and calmed nerves at Stamford Bridge with a 4-2 win over Southampton on Tuesday that moved them seven points clear of their nearest pursuers Tottenham Hotspur.
Chelsea manager Jose Mourinho believes that not having another international break until March will help his team recapture their best form after a woeful start to the season.
Chelsea must improve their defensive solidity if they are to challenge for silverware this season, winger Eden Hazard has said. Despite coach Antonio Conte's reputation of building teams around a solid defensive unit, Chelsea have conceded nine league goals this season, including three against Arsenal on Saturday, the first of which came from an error by Gary Cahill. The London club have kept just one clean sheet in six league games this campaign.
Chelsea playmaker Eden Hazard relishes playing with striker Diego Costa and is keen for the Spaniard to resolve his stand-off with the English Premier League champions and return to action.
Jose Mourinho has confirmed Diego Costa was taken to hospital with a rib injury suffered during Chelsea's Capital One League Cup match at StokeCity on Tuesday.
IMAGES from the English Premier League matches played on Sunday
'I decided ... to overtake the catering costs for at least three months'
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.
Bethany England's early rocket proved enough for Chelsea as they beat newcomers Tottenham Hotspur 1-0.
News of all that transpired on and off the football field.
Chelsea manager Antonio Conte is keen to see how his side cope with the absence of striker Diego Costa and midfielder N'Golo Kante and may change his favoured 3-4-3 formation when Bournemouth visit.
Manager Guus Hiddink dismissed speculation that Eden Hazard will leave English Premier League champions Chelsea, insisting that the winger is content to stay at Stamford Bridge.
Antonio Conte's title ranks as one of the finest of the Abramovich era because this title was so unexpected. Out of the blue, in fact.
The 36-year-old former England international played over 700 games for Chelsea and has been their most successful captain.
All the action from La Liga and Serie A matches played on Monday
Thierry Henry has been named head coach of the country's Under-21s until 2025
Manchester United and Tottenham Hotspur are second and third respectively, a point ahead of Antonio Conte's men.
Chelsea and Everton have been charged by the FA after Wednesday's stormy Premier League encounter.
Curtin Jones's 71st-minute strike saw Liverpool edge past Everton in a derby tie at Anfield.
Images from the English Premier League London derby played between Arsenal and Chelsea at the Emirates on Wednesday
His first overseas coaching adventure -- Maurizio Sarri has chosen a devilishly difficult league to try and make it happen and a club not exactly known for its patience.
However, one goal proved enough for City who picked up their sixth successive league win to move four points clear of Liverpool, who host Aston Villa later on Saturday, at the top of the standings.
Chelsea have boosted their striking options with the signing of veteran Cameroon international Samuel Eto'o from Russia's Anzhi Makhachkala, the Premier League club said on Thursday.
Napoli president Aurelio De Laurentiis said on Wednesday that the English Premier League side are close to securing a deal for former Napoli boss Maurizio Sarri to replace Conte.
Daryl Janmaat, Gerard Deulofeu and Roberto Pereyra all scored late on in response to Eden Hazard dragging Chelsea back into the game with a curler in the 82nd minute after Tiemoue Bakayoko was sent off for a second booking on the half-hour.
Chelsea winger Eden Hazard still hopes he can one day fulfil his dream of playing for Real Madrid.
Arsenal's Pierre-Emerick Aubameyang struck a vital late goal to seal a 3-1 win over Valencia on Thursday and give his side breathing space for the second leg of their Europa League semi-final in Spain next week.
Robert Lewandowski and Raphinha both scored twice to help Barcelona thrash hosts Villarreal 5-1.
Late goals from Eden Hazard and Nemanja Matric sealed a 4-2 victory for Chelsea over London rivals Tottenham Hotspur in a rip-roaring FA Cup semi-final at Wembley on Saturday.
Chelsea's struggle to retain the title is hardly surprising as the club returned to the Champions League and their league rivals strengthened their squads, former Leicester City manager Claudio Ranieri has said.
Chelsea manager Antonio Conte is uncertain about the future of Diego Costa, as Spanish media reports have linked the striker with a possible return to Atletico Madrid. The 27-year-old, who joined the London club from Atletico in 2014, did not feature in Chelsea's 3-2 defeat by Real Madrid in a pre-season friendly on Saturday due to a back injury. The Spain international scored 12 times last season as the club finished 10th in the Premier League, with British media reports also linking Everton striker Romelu Lukaku with a potential move back to Stamford Bridge.
Images from the EPL matches played on Sunday
The popular Portuguese, who left Real Madrid last weekend, won the 2005 and 2006 Premier League titles in his first spell with the Londoners but departed in 2007 after falling out with owner Roman Abramovich.
Michael Olise scored a stoppage-time penalty as Crystal Palace clawed back from two goals down to draw 2-2 with Manchester City in the Premier League at the Etihad Stadium on Saturday.
Salah joined Chelsea under Mourinho in 2014 but failed to establish himself at Stamford Bride and was loaned out to Fiorentina and Roma before a permanent move to the Stadio Olimpico outfit in 2016.
WikiLeaks founder Julian Assange has agreed to enter a plea deal with the Joe Biden administration that could pave the way for him to avoid imprisonment in the United States, according to recently filed federal court documents, CNN reported.
