Against a spirit Fulham side, Carlo Ancelotti was able to blow a final sigh of relief when two goals from Calvert-Lewin and a third from Doucoure cancelled out the host's two and allowed Everton to leave Craven Cottage with all three points.
One of the surprise results of the weekend was West Ham's 1-0 dismissal of Sheffield United, through a solitary goals from Sebastien Haller(8.0).
The West Ham striker joins Calvert-Lewin in attack alongside Liverpool's Roberto Firmino(7.8), who returned to form against Leicester's defence and bagged a goal for his efforts in a comfortable 3-0 victory.
In midfield Doucoure finds himself in a trio alongside Tottenham Hotspur midfielder Pierre Emile Højbjerg(7.7), following the Dane's combative performance in Spurs' 2-0 victory over Pep Guardiola's side on Saturday and Liverpool goal scorer Diogo Jota(8.0).
Despite many fearing for the worst when Liverpool hosted Leicester at Anfield on Sunday evening without a number of their key defenders, Jurgen Klopp's side stunned their guests with quick, attacking football. At the heart of that were both wing-backs Andy Robertson(8.4) and James Milner(8.1).
They're joined in defence by central defender Liam Cooper(7.7), following his side's 0-0 draw with Arsenal and Chelsea defender Kurt Zouma(8.2) after their comfortable 2-0 win over Newcastle.
Although his side ultimately lost the match, West Brom shot-stopper Sam Johnstone(8.3) earns his spot between the sticks this week with six saves and a seventh from the penalty spot against Manchester United.