Find out how all of the action unfolded courtesy of Sports Mole's minute-by-minute updates below.
It is a latest return to the Bridge for United boss Jose Mourinho, who won three Premier League titles here, but it is Chelsea who look far better placed to lift the trophy this season as things stand having made a fine start to the campaign, whereas United's struggles have led to serious questions over the Portuguese manager's future.
We will have a look at all of that and more a little later, but let's start by checking out the team news...
Well, we'll start with the home side and their headline is that Antonio Rudiger is passed fit to start, despite being forced to pull out of the Germany squad with a groin injury during the recent international break.
The centre-back has now fully recovered, though, and takes his place alongside David Luiz in defence to continue his ever-present record in the Premier League this season.
Morata's form has been questioned for much of his Chelsea career, but he has scored in his last two games for the club and also netted the only goal of the corresponding fixture here last term.
Mourinho said in the buildup to this match that he would love to have Hazard at Old Trafford, despite a rumoured falling-out between the two during their time together at Chelsea, and he will not be longer in casting envious glances at the Blues for possessing such a talent.
Hazard is the league's top scorer with seven goals this season, and he is also the only player to have been directly involved in 10 or more goals having registered three assists as well.
Barkley may feel slightly hard done by with that one considering he scored one and created another against the Saints, but Kovacic has also made a promising start to the season and gets the nod alongside Jorginho and Kante today.
Luke Shaw and Nemanja Matic were both forced to withdraw from their respective international squads with injuries but have recovered to start today, with the latter lining up against his former club.
Sanchez has been out of favour in recent weeks, but his exclusion from the starting lineup tonight could also be due to the fact that he played the full 90 minutes for Chile as recently as Wednesday night, making for a very quick turnaround.
The Belgian has actually scored more goals for his country than his club this season, and is without a goal in his 12 previous appearances at Stamford Bridge - eight of which came during his time as a Chelsea player.
Indeed, Lukaku has played in 18 Premier League matches involving the Blues - 10 for and eight against - and his only goal came in United's 2-1 win at Old Trafford earlier this year.
That is one of only two changes to the team which started that match so badly, though, with Mata's introduction in place of McTominay the other. Plenty of people would have been expecting more change from Mourinho today.
The new manager has come in from Napoli and almost immediately turned them into a team that looks like genuine title challengers. Indeed, even a draw today would take them clear at the top of the Premier League table, above Manchester City and Liverpool.
Only goal difference separates the unbeaten trio after eight games of the season, but it is Chelsea who have the more difficult match this week with Man City hosting Burnley and Liverpool taking on winless Huddersfield.
The Blues will do very well to repeat that achievement again this season considering the competition in the league at the moment, but they are already seven points better off than at the same stage last term so they have certainly made an encouraging start.
That took their tally up to 18 goals scored in their opening eight games - something only Man City and Arsenal can beat - while they have only conceded five goals in that time too - a record only Man City and Liverpool can better.
Indeed, across all competitions Sarri's side have now kept four clean sheets in their last six games across all competitions.
Nine of those matches have ended in victory too, while in the Premier League alone Chelsea have now lost just one of their last 15 outings, winning 10 of those. The solitary defeat came on the final day of last season.
So far this season the Blues have won four and lost none of their five outings at the Bridge, and they also boast a formidable record here against Manchester United in particularly, so confidence will be high of another victory today.
Chelsea have earned eight points from their last eight games against teams that finished in last season's top four, failing to score more than once in any of those games.
Results have been poor, and as if that wasn't enough there have also been countless reports of unrest behind the scenes and growing speculation over the future of manager Jose Mourinho - something which is sure to fire up again if he loses at the ground he was once revered at this afternoon.
The Red Devils have lost three of their opening eight Premier League games, and another defeat here would make it four from their opening nine for the first time since 1990. They have also been dumped out of the EFL Cup at home to Championship side Derby County and only in their last match ended a four-game winless streak across all competitions.
Mourinho's men begin the weekend sitting eighth in the table, already five points adrift of the top five and seven off the pace of the leading pack. Should they lose here then that gap would grow to 10 - already approaching the realms of unassailable.
Even so, the manner of their 3-2 victory over Newcastle before the break will have helped to lift the gloom around the club as United scored three goals in the final 20 minutes to come from two goals down and pull off a much-needed victory against the winless Magpies - a sign that perhaps these players are willing to fight for Mourinho.
Reports before the match suggested that he would be sacked regardless of the result, but the nature of the comeback may just have been enough to save him for now. The irony of it being three players he has fallen out with - Mata, Martial and Sanchez - who got the goals will not be lost on most fans.
One area United do need to improve is defensively, having kept just one clean sheet in the league this season. Mourinho is usually a defensive master, but his side have conceded 14 league goals already this season - a tally it took them 19 games to reach last term. Only Fulham, Cardiff and Huddersfield have conceded more.
That loss at the London Stadium also extended a surprisingly poor record for the Red Devils in London, with eight defeats from their last 13 matches in the capital - as many losses as they had suffered in their previous 39 visits.
On top of that, Mourinho has lost all three of his competitive away games against Chelsea as United boss and has only beaten his former employers at Stamford Bridge once before - with Inter Milan in 2010.
It will be interesting to see whether United have been given a lift by their last result, but either way this looks like a difficult fixture for them. Chelsea are in good form and will be favourites to come out on top here, and we agree.
SPORTS MOLE SAYS: Chelsea 2-0 Man Utd
In their six visits since Sir Alex Ferguson retired, United have lost five and failed to win any of their matches at Stamford Bridge, including losing all three of their games under Mourinho by an aggregate scoreline of 0-6.
Indeed, Chelsea are one of only two teams - along with Brighton - to have beaten United more often than United have beaten them in the Premier League era.
The most recent meeting in any competition came in May's FA Cup final, though, when Eden Hazard's penalty proved to be the only goal of the game at Wembley.
CHELSEA STARTING XI: Kepa; Azpilicueta, Luiz, Rudiger, Alonso; Jorginho, Kovacic, Kante; Willian, Morata, Hazard
MAN UTD STARTING XI: De Gea; Young, Lindelof, Smalling, Shaw; Mata, Matic, Pogba; Rashford, Lukaku, Martial
It comes from a corner as Rudiger escapes the attentions of Paul Pogba, before meeting the ball with a stooping header which bounces past De Gea, who had no chance. Pogba remonstrates with his teammates after the goal, but it looked to be him at fault.
It's been a positive start from @ChelseaFC and they lead at Stamford Bridge! 🏟— Sky Sports Premier League (@SkySportsPL) October 20, 2018
Jose Mourinho will not be happy with the marking...👀
Watch live on Sky Sports PL or follow online: https://t.co/fFXhrDuG5C pic.twitter.com/vcAIkODL4d
1 - Manchester United have kept just one clean sheet from their opening nine Premier League games this season, this after recording seven shutouts at this stage of last season. Susceptible. #CHEMUN pic.twitter.com/WLWY8rux69— OptaJoe (@OptaJoe) October 20, 2018
It has been a fairly even match on the whole, with clear chances at a premium, but one moment of lacklustre defending from the visitors has cost them so far.
It was far too easy for the hosts, with Pogba lacking a crucial moment of concentration to allow Rudiger to get away. Pogba was fuming afterwards, seemingly putting the blame on Lindelof, but it was he who lost his man.
United's one and only goalscoring opportunity came with the score still at 0-0, when Lukaku rose highest inside the area but steered his header off target.
Chelsea have enjoyed the lion's share of possession and have had six shots to United's one so far, so if either side deserve to be ahead then it is the hosts.
United, for their part, need to push higher up the pitch and offer more of an attacking threat having been quite toothless in that opening 45 minutes.
It is a messy goal for the hosts to concede as they fail to clear the lines despite having a few chances to do so. Mata draws a fine save from Kepa with a deflected volley from inside the area, but the danger has not gone and Young eventually works it back into the area.
The ball takes a touch off Jorginho and falls into the path of Martial, whose first touch is perfect and he then fires his finish past the keeper. Alonso was down on the ground injured right in front of Martial and had he been on his feet he would have closed it down, but Martial took full advantage.
Mata skips past Luiz down the right flank before playing a pass inside for Rashford, who in turn picks out a perfect pass to find Martial on the left side of the area. The Frenchman takes a touch and then bends his finish into the far bottom corner past Kepa.
The focus quickly switches to the touchline, though, with Mourinho reacting to a comment from a member of the Chelsea staff and a big melee following. Remarkable scenes!
Chelsea looked on course for their first league defeat of the season and United on course for a very rare win at Stamford Bridge, but Ross Barkley rescued a point for the hosts, sparking a melee on the touchline between the coaching staff.
Rudiger had earlier given Chelsea the lead before a brace from Anthony Martial turned the game in United's favour, but ultimately they fell just short of what would have been a priceless victory.
Thank you very much for joining Sports Mole for today's match as Chelsea rescue a dramatic late draw with Manchester United at Stamford Bridge! I will leave you with our match report, and be sure to stick around for reaction too.
From me, though, it is goodbye for now!