The Blues and the Gunners are currently sat in the top four and will hope to secure a place in next season’s Champions League come the end of the campaign.
Spurs lie in fifth as Antonio Conte gets the grips with his squad but the Italian will remain confident his side can overhaul their London rivals and land a return to European football’s elite competition.
West Ham have already shone in Europe this season and their focus will be on their Europa League quarter-final tie against French club Lyon - although David Moyes’ side remain in with a chance of improving on last season’s sixth-placed finish in the Premier League.
Patrick Vieira’s first campaign in charge of Crystal Palace has shown signs of progress and the Eagles are eyeing a comfortable mid-table finish, with London rivals Brentford sat four points and three places behind them.
For Watford, it is all about survival and maintaining their Premier League status.
Roy Hodgson’s men are currently in the bottom three and have a three-point deficit on 17th placed Everton - although the Toffees also have the benefit of holding two games in hand on the Hornets.
How will the rest of the campaign pan out for London’s Premier League clubs?
With the help of the FiveThirtyEight ‘Soccer Power Index’, London World takes a look at the predicted final table.:
17. 3rd: Chelsea (80 points)
There are plenty of well-reported off-field issues at Chelsea - but that should not prevent them claiming a Champions League spot at the end of the season. | AFP via Getty Images
18. 2nd: Liverpool (89 points)
The Reds have been in outstanding form of late but they are predicted to come up short in their bid for second Premier League title under Jurgen Klopp. | IKIMAGES/AFP via Getty Images
19. 1st: Manchester City (91 points)
Pep Guardiola’s men have been in fine form throughout the campaign and they are expected to claim a fourth league title in five seasons. | Getty Images
20. 4th: Arsenal (69 points)
A season of improvement from Mikel Arteta’s side is expected to be rewarded with a return to the Champions League after a six-year absence. | Getty Images