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.:
1. 20th: Norwich City (24 points)
The Canaries return to the Premier League has not gone as planned and they are predicted to return to the Championship over the coming weeks. | Getty Images
2. 19th: Watford (30 points)
It’s been a season of three managers for the Hornets and it is one that is set to end in a return to the Championship. Photo: Martin Rickett
3. 18th: Burnley (33 points)
The Clarets have struggled to put together a meaningful run of form during the season and their six-season stay in the Premier League is predicted to come to an end.
4. 16th: Everton (36 points)
Everton have endured a largely miserable season but they are predicted to avoid relegation and allow manager Frank Lampard to being a rebuild in the Premier League this summer. | Getty Images