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.:
5. 17th: Leeds United (35 points)
A season of struggle at Elland Road is expected to end with a successful battle against relegation - but only just as the Whites are predicted to finish just two points above the bottom three. Photo: Staff
6. 14th: Brentford (41 points)
It has been a historic season for the Bees as they have mixed it with the elite of English football for the first time since 1947 - and it is expected to end with a comfortable 15th placed finish. Photo: Clive Rose
7. 15th: Newcastle United (40 points)
It has been a season of change on and off the park at St James Park - and a 14th place finish and avoiding relegation will be seen as success after an awful start to the campaign. | Getty Images
8. 13th: Brighton (44 points)
A run of poor form is expected to hamper what looked a very promising season for the Seagulls - although they are still predicted to improve on last season’s 16th place finish. Photo: Alex Pantling