Match ends, Chelsea 2, West Ham United 2.
Cesc Fabregas scored a free-kick and a late penalty as Chelsea earned a point to frustrate West Ham's Champions League ambitions.
The Hammers took the lead when Manuel Lanzini beat Thibaut Courtois with a sumptuous curling effort from 25 yards.
Fabregas's superb set piece on the stroke of half-time pegged them back.
Substitute Andy Carroll looked to have won it for West Ham, before Fabregas snatched a point after Michail Antonio fouled Ruben Loftus-Cheek.
Victory would have moved West Ham in front of Manchester City into fourth place, but Slaven Bilic's side were unable to add Chelsea to Manchester City, Liverpool and Arsenal on their list of away scalps this season.
Chelsea, who remain unbeaten in the league under interim boss Guus Hiddink, stay 10th.
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Hammers hard done by?
After Carroll finished clinically from Dimitri Payet's superb through-ball, West Ham were two minutes plus added time away from their first victory in Stamford Bridge at 14 years when substitute Loftus-Cheek tumbled in the area.
Referee Robert Madley pointed to the spot, but replays appeared to show that rather than being clipped by Antonio, the midfielder tripped over his own feet.
In addition, Antonio - who had scored in each of his previous three league matches - appeared to be outside the box when Loftus-Cheek went down.
"To concede that late is gutting, but to concede it from a penalty that is not a penalty is unacceptable," Bilic said.
"It was not close to the line. It was way out. It was not a penalty. We are gutted and we are not getting these decisions."
Fabregas shines as Blues show fighting spirit
Following last week's defeat by Everton in the FA Cup, reigning league champions Chelsea have nothing left to play for this season - but they showed plenty of battling spirit to take a point from this match.
The Blues were not at their fluent best but 18 crosses and 22 shots told the tale of their unstinting endeavour in forward areas.
Fabregas, a superb performer last season, has endured a much more difficult campaign this time round, and has sometimes been accused of going missing in difficult matches, but here he was at his influential best.
His free-kick was masterful, getting the ball up and down from 25 yards and beating the dive of Adrian after Winston Reid had fouled Oscar.
But his performance was about much more than goals - the 28-year-old Spaniard also had more shots, passes and touches than anyone else on the pitch.
Man of the match - Cesc Fabregas
What they said
Chelsea manager Guus Hiddink: "We stared well in the first 10 minutes but we then started losing the possession too easily. We reacted just before half-time, especially with the beautiful Fabregas free-kick. In the second half we got caught on the counter, but we reacted perfectly to get the draw.
"This is a very good West Ham side. They are knocking on the door for the top four. I was happy with the late penalty decision. It's difficult for me to make a judgement - I think he was tripped on the line. On the line is part of the box."
West Ham manager Slaven Bilic: "I don't look too much at the table but what gives me confidence is the way we are playing, no matter who or where.
"We are capable and we are having chances against any team. That approach should take us far."
The stats you need to know
- Cesc Fabregas scored twice in a Premier League game for the first time since December 2009 - a game which also featured his last goal direct from a free-kick.
- Fabregas is the fourth Chelsea player this season to score a direct free-kick goal in all competitions (Oscar, Willian, Hazard being the other three).
- Four of Manuel Lanzini's five Premier League goals this season have been scored away from home.
- Chelsea have now conceded in each of their last nine Premier League games at Stamford Bridge.
Chelsea face Aston Villa on 2 April, while West Ham host Crystal Palace.
- 2IvanovicBooked at 16mins
- 4FàbregasBooked at 90mins
- 22WillianBooked at 90mins
- 8OscarSubstituted forLoftus-Cheekat 84'minutes
- 16KenedySubstituted forPedroat 45'minutes
- 18RemySubstituted forTraoreat 62'minutes
- 11Da Silva
- 13AdriánBooked at 89mins
- 30AntonioBooked at 88mins
- 2ReidBooked at 45mins
- 21OgbonnaBooked at 45mins
- 8KouyatéBooked at 64mins
- 11E ValenciaSubstituted forEmenikeat 75'minutes
- 28LanziniSubstituted forObiangat 82'minutes
- 15SakhoSubstituted forCarrollat 60'minutes
- Robert Madley
- Shots on Target
Second Half ends, Chelsea 2, West Ham United 2.
John Obi Mikel (Chelsea) wins a free kick in the defensive half.
Foul by Andy Carroll (West Ham United).
Attempt missed. Ruben Loftus-Cheek (Chelsea) right footed shot from the centre of the box is close, but misses to the left. Assisted by Bertrand Traore following a set piece situation.
Pedro (Chelsea) wins a free kick on the left wing.
Foul by Winston Reid (West Ham United).
Foul by Gary Cahill (Chelsea).
Andy Carroll (West Ham United) wins a free kick in the defensive half.
Attempt saved. Dimitri Payet (West Ham United) right footed shot from outside the box is saved in the bottom right corner.
Willian (Chelsea) is shown the yellow card.
Cesc Fàbregas (Chelsea) is shown the yellow card.
Hand ball by Cesc Fàbregas (Chelsea).
Adrián (West Ham United) is shown the yellow card.
Goal! Chelsea 2, West Ham United 2. Cesc Fàbregas (Chelsea) converts the penalty with a right footed shot to the bottom right corner.
Michail Antonio (West Ham United) is shown the yellow card for a bad foul.
Penalty Chelsea. Ruben Loftus-Cheek draws a foul in the penalty area.
Penalty conceded by Michail Antonio (West Ham United) after a foul in the penalty area.
Attempt blocked. Andy Carroll (West Ham United) header from very close range is blocked. Assisted by Dimitri Payet with a cross.
Corner, West Ham United. Conceded by Branislav Ivanovic.