Marcelo Bielsa's Whites ensured they left with all three points thanks to Raphinha's first strike for the club 11 minutes from time to settle a game featuring a whole host of chances.
Graham Smyth, the YEP's chief football writer, hands out the scores.
1. Illan Meslier
8 - Made some good first half stops, distributed it quickly as often as he could. Continued to stand strong in the second half under some pressure. Photo by Clive Brunskill/Getty Images.
2. Luke Ayling
8 - Got forward well in the first half, more involved defensively in the second half. Put a huge amount of effort in. Photo by Jon Super - Pool/Getty Images.
3. Liam Cooper
7 - Early mistake to let a pass go in behind him, struggled with pace once or twice but otherwise solid and good on the ball. Photo by CLIVE BRUNSKILL/POOL/AFP via Getty Images.
4. Robin Koch
8 - Solid first half, solid second half. Looked in control throughout, made some important and tidy defensive interventions. Photo by Clive Brunskill/Getty Images.
5. Gjanni Alioski
7 - Effective going forward, linked up well with various players. Not as offensively dominant in the second half but continued to play well. Photo by Peter Powell - Pool/Getty Images.
6. Kalvin Phillips
8 - Comfortable in possession, played some lovely passes, when Everton got past him Leeds looked vulnerable. Pressed high up the pitch to keep them pinned as often as he could. Photo by Peter Powell - Pool/Getty Images.