Cresswell combined an assist with a clean sheet and the maximum three bonus points to earn 12 points.
The left-back is the top-scoring defender in 2020/21 Fantasy, 13 points ahead of his nearest rival Ruben Dias (£6.1m).
Indeed, Cresswell has now equalled his best ever season haul of 133 points, recorded in 2015/16.
Dawson, meanwhile, scored his third goal of the campaign to produce 13 points against Leeds.
Dawson has been a huge source of value since making his first start of the season in Gameweek 16.
He has averaged 5.5 points per match (ppm), second only to the 6.4ppm of John Stones (£5.3m) among regular starting defenders in Fantasy.
West Ham midfielder Jesse Lingard (£6.1m) also extended his fine form, scoring from the rebound after his penalty was saved by Illan Meslier (£4.6m).
Lingard has blanked in only one of his six outings for the Hammers, producing four goals and two assists.
But the on-loan star is ineligible for Gameweek 28 as he cannot play against his parent club Manchester United.
The Blues have conceded just two goals in 11 matches in all competitions under new head coach Thomas Tuchel.
Cesar Azpilicueta (£5.7m) is now the only player to start all nine of their Premier League encounters since the German took charge.
Azpilicueta has produced 60 points in Fantasy over that run, combining a goal and seven clean sheets with nine bonus points.
Midfield pair Jorginho (£4.7m) and Kai Havertz (£8.2m) also had successful outings against Everton.
Jorginho’s converted penalty earned him 10 points, his third double-figure score in seven starts for Tuchel.
And Havertz impressed in his first start since Gameweek 20, earning the assists for both goals to claim his season-high haul of nine points in Fantasy.
Part 1: GW27 FPL stats: Gundogan goal worth the wait for a million managers
Part 2: GW27 Bonus points: Man City trio rewarded
Part 3: FPL Saturday review: Double success for Ward-Prowse
Part 4: FPL Sunday review: Bale and Kane become the top targets
Part 5: FPL experts: Is it time to sell Salah?