Everton joined three other teams on 30 points in the upper reaches of the division with second-half goals from Victor Anichebe and Steven Pienaar after Carlton Cole had fired the hosts in front.
However, the game was overshadowed by a string of contentious decisions from the officials. Leon Osman had a seemingly-legitimate goal ruled out, and both sides were reduced to 10 men in controversial circumstances.
Find out how the action unfolded with our minute-by-minute commentary below.
5.00pmThat's all from me here today. Many thanks for joining us!
4.59pmBe sure to check Sports Mole for all the fallout from this game, because I'm certain there will be plenty. In the meantime you can read our match report here.
4.52pmEverton come away with three points in a game where contentious dismissals will overshadow all else. Cole's wrongful sending off really spoilt this contest and Gibson's red card was just as debatable.
90+4 minSUBSTITUTION Shane Duffy replaces Anichebe at the death as Everton look to hold on to their advantage with nothing left on the clock.
90+3 minRED CARD! And we have another controversial sending off! This time it's Everton's Gibson who gets his marching orders for going in with a high boot against Noble. I guess the referee is trying to compensate for his earlier mistake!
90+1 minCHANCE! Nolan almost punishes Everton at the other end, lashing wide while under pressure from Distin.
90 minMISS! Jelavic misses an absolute sitter! Osman twists and turns before unleashing a strike which Jaaskelainen skills into the path of the Croatian at point-blank range, but he somehow hit the side-netting!
88 minSUBSTITUTION West Ham bring on Jack Collison on for Jarvis. That is a welcome sight for the home faithful. The Welsh international has been out for some time through injury.
85 minSUBSTITUTION Everton make their first change as Neville makes way for Naismith. The Blues skipper recently returned from knee surgery, so Moyes isn't risking him for the full 90 minutes.
83 minSHOT! Maiga nods Spence's throw on to Nolan, who takes it on the volley. That wasn't far away! Now probably isn't the best time to remind Everton fans how often they've conceded late goals this season.
81 minSUBSTITUTION Promising youngster Jordan Spence comes on for West Ham in place of O'Brien as the Hammers search for an equaliser.
77 minEverton have really made their numerical advantage count. The trio of Baines, Pienaar and Osman have dictated play in the second period.
74 minBrilliant build-up play from Pienaar, but West Ham were unfortunate to concede in that fashion.
73 minHard to tell who to credit that goal to! Osman did all the work with a mazy run into the area. He fired a low cross towards the West Ham goal where several bodies were scrambling for it. Pienaar is claiming it, but I think Matt Taylor got the final touch, but it may have gone in off Jaaskelainen.
73 minGOAL! West Ham 1-2 Everton (Steven Pienaar)
71 minI expect West Ham will appeal against that decision. Cole will receive a three-match ban now, but he was going for the ball there. He caught Baines on the arm, but the Everton man barely flinched.
67 minRED CARD! Oh my word! Cole is dismissed for dangerous play on Baines. His boot was raised but there was absolutely no malice in that. Another poor decision from the referee!
65 minThat equaliser was coming! Osman found Pienaar on the left and the South African had all the time in the world to swing in a pin-point cross for Anichebe to head home for 1-1. A well-crafted goal!
65 minGOAL! West Ham 1-1 Everton (Victor Anichebe)
64 minBOOKING Maiga goes into the book for bringing down Pienaar.
63 minLovely build-up play from Everton as Osman, Pienaar and Baines link up, but there's nobody in the box to capitalise.
60 minCHANCE! Maiga almost makes an immediate impact, taking Cole's pass on the turn and shooting narrowly wide. The replay indicated that his effort took a deflection on the way behind, so West Ham were robbed of a corner.
58 minSUBSTITUTION: Modibo Maiga comes on for West Ham, replacing O’Neil. That should boost the Hammers' attacking options.
56 minPlenty of urgency about Everton in this second period. Another half-chance goes begging as Osman picks out Jelavic in an offside position. The striker needs to time those runs better!
54 minSHOT! Gibson curls one over the wall and it sails inches wide. I think Jaaskelainen would have gotten to that had it been on target, though.
54 minNolan fells Pienaar and Everton are awarded a free kick in a good position...
52 minPienaar is looking lively at the moment. A deflected strike from him wins Everton a corner, but the West Ham defence have it covered.
49 minCHANCE! Jelavic is denied an equalised thanks to a reaction save from Jaaskelainen. The ball fell invitingly for the Croatian inside the box, but the Hammers keeper got his body behind it. A striker of his calibre should really be putting those way.
48 minJelavic has been caught offside twice in the opening stages of this second half with mistimed runs.
45 minThe match is back under way!
3.54pmYou can read our report of the first 45 minutes here. And follow all the action from the next 45 by staying on this page.
3.52pmCredit to West Ham for the way they have approached the game. They have been more organised across the pitch and look the more dangerous up front.
3.50pmDavid Moyes's side have it all to do in the second half if they want to preserve their impressive record against the Hammer, but a change of tactics may be needed. Heitinga is not coping with the threat of Cole and they aren't getting enough balls in to Jelavic.
3.48pmWest Ham go into the break with a 1-0 lead courtesy of Carlton Cole and they just about deserve it. Leon Osman's disallowed header at the other end will be a big talking point come the end of the game, though.
45 minJust one minute of stoppage time to be played here.
40 minSHOT! Gibson's dipping free kick is tipped over the bar by Jaaskelainen. It's hard to tell whether that was intended to be a cross or a shot. The West Ham keeper made a meal of it, though. There's no reason why he couldn't have made the catch there.
37 minNolan edges past Heitinga in the danger zone but Everton skipper Phil Neville backpedals and comes to his rescue. A good challenge from the captain.
36 minA West Ham half-chance is stopped in its tracks as Cole handles in the Everton area following a corner. A let-off for the Toffees there I think.
35 minJelavic was a snap-shot from outside the box. He didn't get much on it and if spins wide. He should have done better there!
34 minJelavic looks annoyed after Pienaar overlooks him in favour of playing a through ball to Anichebe, who was actually in an offside position. A poor decision by the South African.
30 minThat Cole strike has left Everton shell-shocked. They've created very little since falling behind, but Jelavic has just ripped the West Ham defence apart with a lovely turn. The Croatian fired wide, though the flag was up in any case.
28 minThere's some miscommunication between Cole and Nolan upfront as they both jump up for a free kick in the Everton box. It skims off Cole in the end and Howard makes an easy catch.
26 minHeitinga's failure to contain Cole is a concern for Everton. I'd say he should leave it to Distin to mark the West Ham forward.
24 minMoyes has a face like thunder down there on the touchline. Expect the Scot to have a few things to say about that disallowed goal in the fallout from this one!
22 minSHOT! Pienaar with a curling effort from range! It bends deceptively on its way towards goal, but Jaaskelainen saw it early and makes the catch without too much trouble.
19 minWest Ham break and earn a free kick as Jagielka pushes Jarvis to ground. Cole got away from Heitinga again during the build-up. The Dutchman is struggling to contain him!
18 minAlthough Everton will feel hard done by given that circumstances, that was a great finish from Cole. A real striker's goal.
15 minA blistering strike from Cole puts West Ham 1-0 up moments after Everton have one ruled out. A brilliant finish from the number nine! He got the better of Heitinga and fired across the keeper into the net. It was Noble with the assist. Good vision from him!
14 minGOAL! West Ham 1-0 Everton (Carlton Cole)
13 minThe assistant felt Anichebe fouled Jaaskelainen during the build-up, but I couldn't see anything wrong with his challenge. Good header from Osman too! Plenty of power in it!
12 minGOAL DISALLOWED! Baines whips in a corner and Osman heads it into the back of the net, but the linesman's flag was raised for a foul. That's a contentious decision!
9 minCHANCE! Everton should be 1-0 up after Distin squanders a free header. The Frenchman met a sweeping cross from Baines, but headed the ball into the ground with enough force to see it bounce over the crossbar.
7 minWest Ham apply pressure for the first time through Kevin Nolan. He gets his head to a long ball, but there is nobody there for him to nod it down to.
4 minGibson plays a long ball to Anichebe in the danger zone, but the forward's first touch is poor. The ball ricochets off his foot and West Ham clear the danger.
1 minA bright opening from Everton as Baines and Pienaar combine down the left, as they so often do, but the midfielder overplays his pass and it goes out for a West Ham goal kick.
3.00pmThe referee gets the action underway.
2.56pmThe teams are out onto the pitch now, and 'Forever Blowing Bubbles' is ringing out around the ground. A great atmosphere here at the Boleyn Ground.
2.55pm"I think they are a model for any club," Sam Allardyce said of today's opponents Everton.
2.50pmDavid Moyes: "It will be a tough game. We've been there a few times and had some decent results so we'll be looking for more of the same. They look like a mid-table side and if I said that, Sam [Allardyce] would be delighted because when you come up the aim is to make sure you stay up. I do think they look like a team that are closer to the top end of the league rather than the bottom end."
2.49pmPre-match quotes from both managers coming up...
2.46pmThe Blues are still the favourites as far as I'm concerned. West Ham have not beaten today's opponents in the last eight attempts and have a long list of injuries to contend with. Mohamed Diame, Andy Carroll, Ricardo Vaz Te and Alou Diarra are among the notable absentees.
2.43pmSo not too many surprises in today's starting XIs. The big news as far as Everton are concerned is the absence of the influential Marouane Fellaini. The Belgian, who starts a three-match suspension today, has been a revelation this season, and his absence will be a big hole to fill.
2.40pmEVERTON: Howard, Jagielka, Distin, Heitinga, Baines, Neville, Osman, Gibson, Anichebe, Pienaar, Jelavic
2.40pmWEST HAM: Jaaskelainen, O’Brien, Collins, Reid, Tomkins, Noble, Nolan, Jarvis, O’Neil, Taylor, Cole
2.38pnGood afternoon and welcome to Sports Mole's live coverage of the Premier League contest between West Ham United and Everton. Team news on the way...