Everton took the lead through their first attack in the 17th minute as Anthony Gordon coolly slotted the ball past Illan Meslier after Diego Llorente made a mess of trying to clear an Alex Iwobi through ball.
Leeds then lost striker Rodrigo to a shoulder injury but Jesse Marsch's side drew level ten minutes after the break through a fine low drive from 20 yards out from summer signing Luis Sinisterra on his full Whites league debut.
Patrick Bamford returned from his recent groin issue when brought on with 14 minutes left but the Whites and Toffees had to settle for a point each.
Graham Smyth, the YEP’s chief football writer, hands out the scores from the Elland Road contest accompanied with a selection of live match night action photos.
1. Illan Meslier
8 - Pulled off a magnificent save near the end to keep Leeds' point. Looks a man in real form and is becoming incredibly difficult to beat. Photo: Michael Regan
2. Rasmus Kristensen
6 - Made a poor start in possession again but battled well and just about kept his cool as it heated up. Tried to bomb forward. Photo: Michael Regan
3. Diego Llorente
6 - Threatened to have a real wobble in the second half as things got fraught and could have done better for the Everton goal. Photo: George Wood
4. Robin Koch
7 - Relatively solid defensively, although not flawless. Some nice bits of play in possession. Photo: Michael Regan
5. Pascal Struijk
7 - Exudes calm. Positioning could be questioned at times, although team's style can cause that. Tackled well. Some nice footwork and link-up play. Photo: Michael Regan
6. Tyler Adams
6 - Yellow card seemed to hamper him a little from disrupting Everton as much as he wanted to. Tidy in possession but could have been a lot more adventurous in final third. Photo: Marc Atkins