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.:
13. 8th: Wolves (57 points)
Bruno Lage has enjoyed an impressive first season as Wolves manager and it is expected to end with an eighth-placed finish for his side. Photo: Naomi Baker
14. 7th: West Ham United (60 points)
The Hammers have impressed in the Premier League and Europa League this season - and David Moyes’ men are expected to secure a seventh placed finish. | Getty Images
15. 6th: Manchester United (63 points)
All focus seems to be on off-field events at Old Trafford this summer and the Red Devils look to name their next permanent manager - but the new man is not expected to have Champions League football on his agenda. | Getty Images
16. 5th: Tottenham Hotspur (65 points)
Harry Kane has shown signs of returning to his prolific form of past seasons - but it is not expected to lead to a return to Champions League football for his side. | Getty Images