James McCarthy’s dismissal early in the second half presented a fine opportunity to secure the three points that would have taken their season’s total to 40 and almost certainly have secured survival, but instead they remain on 38, and in 16th place, ahead of difficult fixtures with Arsenal and Manchester United.
After Saturday’s 1-0 defeat of Norwich had given them their first league victory of 2016, Palace manager Alan Pardew had spoken of his hope that his players would shed the nerves he believes have recently undermined them, and so early on it looked likely to prove that way.
Jason Puncheon, who scored Saturday’s winning goal, demonstrated improved confidence in only the third minute with a fine through-ball to Yannick Bolasie before the forward, from close range, tested Robles with a near-post shot.
Dwight Gayle was unexpectedly retained over Connor Wickham and Emmanuel Adebayor and he too threatened two minutes later when stretching to stab a first-time shot from Wilfried Zaha’s masterful pass just wide of the right post.
Everton then began to respond by creating convincing chances of their own. First Seamus Coleman produced a reaction save from Palace goalkeeper Wayne Hennessey with a powerful near-post shot, then Arouna Kone pounced on a loose ball to strike just over the crossbar.
In the 29th minute, Romelu Lukaku was played in by Ross Barkley, but watched his hooked, left-footed shot force Hennessey into another save.
Sensing his team required change, Pardew replaced Gayle with Wickham at half-time, but it was Everton who first threatened, when from the edge of the area Barkley evaded Yohan Cabaye’s challenge to create the space from where he classily curled against the crossbar.
If such ability made Everton the favourites, however, the dismissal of McCarthy in the 52nd minute gave Palace a significant advantage. The midfielder had already been booked for a first-half foul on Cabaye when he needlessly blocked Bolasie to earn a second yellow card. Given Everton have consistently proved vulnerable in defence, the loss of one of their more balanced players proved a concern. This was highlighted when Mile Jedinak ran through the back four, found Puncheon, and watched as the forward wasted an outstanding chance when Robles saved.
Hennessey, Ward, Dann, Delaney, Souare, Cabaye, Jedinak, Puncheon, Zaha (Sako 77), Gayle (Wickham 46), Bolasie (Adebayor 66).
McCarthy, Lee, Ledley, Kelly.
Robles, Coleman, Stones, Funes Mori, Baines, McCarthy, Barry, Kone (Besic 54), Barkley (Mirallas 86), Lennon (Oviedo 69), Lukaku.
Niasse, Deulofeu, Pienaar, Howard.
Robert Madley (West Yorkshire).