Rafael Benitez is still seeking a first win and goal since taking charge of Chelsea after Fulham battled to earn a point from a tedious west London derby.
The home fans had greeted their new manager with widespread booing during his first game in charge against Manchester City on Sunday, but they laid off him before this match.
A second uninspiring display and goalless draw in four days, though, meant the jeers erupted around Stamford Bridge at the full-time whistle, the hosts' winless run stretching to six games.
West Brom's defeat at Swansea
meant that the result was enough to carry the Blues up to third in the league, but at the same time the gap between them and leaders Manchester United extended to seven points.
Chelsea dominated possession for much of the game but Fulham, who fully deserved their point, created as many clear chances and left-back John Arne Riise had two good opportunities to earn maximum points after the break.
Benitez wants Chelsea to up the tempo
A fixture played against such a dissatisfied backdrop was seemingly perfect for Fulham.
The sell-out away support were always going to cherish every moment of the turmoil, unrest and upset which has embroiled their local rivals in recent weeks.
But the off-field shenanigans did nothing to inspire the visitors or provoke a wounded home side in a desperately dull first half.
Fulham sat deep and allowed Chelsea plenty of possession but the hosts could barely muster a worthwhile attempt.
Brazilians Ramires and David Luiz saw shots fly way off target, while the misfiring Fernando Torres came closest with a neat turn that could only produce a tame strike on goal.
Chelsea's winless run
Chelsea's six-game run without a league win is their worst since they went the same period without a victory in November-December 2010
At the other end Fulham forward Hugo Rodallega had a decent shot from distance easily saved by Petr Cech.
But what little entertainment there was came from the fans, who spent most of the first period questioning each other's lack of support, lack of trophies or willingness to sack managers with alarming regularity.
And while Benitez escaped the expected hostile reception witnessed at the weekend, many more performances like this and he may not see out his short-term contract.
His decision to leave crowd favourite Juan Mata on the bench deprived Chelsea of their most creative player on a night when they desperately needed him.
A brilliantly organised and packed away defence coupled with a lack of adventure going forward allowed precious little space for Oscar and Eden Hazard to operate.
Chelsea's miserable November
August: Won 4, Lost 1
September: Won 3, Drew 2
October: Won 4, Lost 2
November: Won 1, Drew 4, Lost 2
Chelsea continued to dominate possession and territory after the interval but the chances still would not come.
Branislav Ivanovic did glance a header wide and Torres had a goalbound half-volley cleared by Aaron Hughes.
But Fulham grew in confidence in the latter stages and two great chances fell to Riise.
The Norwegian wasted the first after racing clear following a swift break but he was unlucky with his second attempt when his fierce strike produced a fine low save from Cech.
And although the game opened up in an increasingly frantic final 10 minutes, neither side could find a winner.
Fulham manager Martin Jol:
"We could have nicked it and that would have been bad for them and great for us.
"I'm not disappointed to only get a draw away from home, but disappointed we didn't make more of those chances.
"After the game, everyone said Berbatov was fantastic, and he was, but the other players worked every so hard."
Full Time The final whistle goes and the game is over.
Kerim Frei crosses the ball, clearance made by Branislav Ivanovic. John Arne Riise takes a shot. Oriol Romeu gets a block in. Corner taken short by Kerim Frei. Corner taken by Juan Mata from the left by-line, Cesar Azpilicueta has an effort at goal from just outside the box which goes wide of the right-hand upright.
Nascimento Ramires takes a shot. Blocked by Aaron Hughes. Juan Mata takes a shot. Blocked by Chris Baird.
A cross is delivered by Juan Mata, Philippe Senderos makes a clearance.
The ball is delivered by David Luiz, Aaron Hughes manages to make a clearance. The referee blows for offside. Mark Schwarzer takes the free kick.
Centre by Juan Mata, blocked by Philippe Senderos. Juan Mata takes the outswinging corner, clearance by John Arne Riise.
Marko Marin takes a shot. Sascha Riether gets a block in.
The ball is sent over by Ashley Cole, Aaron Hughes manages to make a clearance.
The assistant referee flags for offside against Fernando Torres. John Arne Riise takes the free kick.
The ball is delivered by Ashley Cole.
Substitution Mladen Petric is brought on as a substitute for Hugo Rodallega.
Substitution Marko Marin is brought on as a substitute for Eden Hazard.
Juan Mata takes a shot. Blocked by Steve Sidwell.
Damien Duff concedes a free kick for a foul on Nascimento Ramires. Petr Cech takes the indirect free kick.
Eden Hazard takes a shot. John Arne Riise gets a block in. Fernando Torres takes a shot. Aaron Hughes makes a clearance. Centre by Cesar Azpilicueta, clearance made by Aaron Hughes.
Free kick awarded for an unfair challenge on Kerim Frei by Cesar Azpilicueta. John Arne Riise restarts play with the free kick.
The ball is crossed by Juan Mata, Mark Schwarzer makes a clearance.
Effort from 25 yards by John Arne Riise. Save by Petr Cech. Corner taken left-footed by Damien Duff, clearance by Fernando Torres. The official flags Dimitar Berbatov offside. Free kick taken by Petr Cech.
Dimitar Berbatov produces a strike on goal direct from the free kick.
Substitution Kerim Frei on for Giorgos Karagounis.
Booking The referee books David Luiz for unsporting behaviour.
Foul by David Luiz on Sascha Riether, free kick awarded.
Cesar Azpilicueta crosses the ball, Steve Sidwell manages to make a clearance.
Giorgos Karagounis challenges Cesar Azpilicueta unfairly and gives away a free kick. Indirect free kick taken by Juan Mata.
Booking Oriol Romeu shown a yellow card.
Free kick taken by Steve Sidwell, Chris Baird takes a shot. Save by Petr Cech. Free kick awarded for an unfair challenge on Nascimento Ramires by John Arne Riise. Oriol Romeu takes the direct free kick. Centre by Cesar Azpilicueta, John Arne Riise gets a block in. Eden Hazard takes a shot. Steve Sidwell gets a block in. Emboaba Oscar decides to take the corner short. Oriol Romeu challenges Dimitar Berbatov unfairly and gives away a free kick. Free kick taken by Mark Schwarzer.
Booking Booking for Branislav Ivanovic for dissent.
Oriol Romeu concedes a free kick for a foul on Steve Sidwell.
A cross is delivered by Cesar Azpilicueta, Hugo Rodallega gets a block in. Inswinging corner taken right-footed by Juan Mata from the right by-line, Headed effort from inside the area by Branislav Ivanovic misses to the left of the target.
Substitution Mahamadou Diarra goes off and Chris Baird comes on.
Foul by David Luiz on Mahamadou Diarra, free kick awarded. Mark Schwarzer takes the free kick.
Substitution Juan Mata comes on in place of Ryan Bertrand.
Inswinging corner taken from the left by-line by Eden Hazard.
Giorgos Karagounis takes a shot. Petr Cech makes a comfortable save.
Ashley Cole takes a shot. Steve Sidwell gets a block in.
Outswinging corner taken right-footed by Emboaba Oscar, clearance made by Dimitar Berbatov.
Nascimento Ramires sends in a cross, clearance by John Arne Riise.
Foul by Mahamadou Diarra on Eden Hazard, free kick awarded. Direct free kick taken by Eden Hazard.
Short corner taken by Eden Hazard.
Fernando Torres takes a shot. Blocked by Damien Duff. John Arne Riise takes a shot. Save by Petr Cech. Nascimento Ramires takes a shot. Mark Schwarzer makes a save.
Dimitar Berbatov is ruled offside. Indirect free kick taken by Petr Cech.
Giorgos Karagounis gives away a free kick for an unfair challenge on Oriol Romeu. Nascimento Ramires restarts play with the free kick.
Sascha Riether produces a cross, Branislav Ivanovic makes a clearance.
Branislav Ivanovic takes a shot. Blocked by Steve Sidwell. Oriol Romeu crosses the ball, clearance made by John Arne Riise.
Emboaba Oscar delivers the ball, clearance by Aaron Hughes.
The game restarts for the second half.
45:00 +0:05 Half time
Half Time The half-time whistle blows.
Fernando Torres sends in a cross, Sascha Riether makes a clearance. Unfair challenge on Giorgos Karagounis by Emboaba Oscar results in a free kick. Mark Schwarzer restarts play with the free kick.
Oriol Romeu fouled by Steve Sidwell, the ref awards a free kick. Free kick taken by David Luiz.
The ball is swung over by Cesar Azpilicueta, Aaron Hughes manages to make a clearance.
Centre by Ashley Cole, Steve Sidwell makes a clearance.
Outswinging corner taken from the right by-line by Eden Hazard.
Emboaba Oscar delivers the ball, Philippe Senderos manages to make a clearance.
Corner from the right by-line taken by Eden Hazard, Mahamadou Diarra manages to make a clearance.
Hugo Rodallega takes a shot. Comfortable save by Petr Cech.
Foul by Damien Duff on Fernando Torres, free kick awarded. Eden Hazard has a direct shot on goal from the free kick. Clearance made by Aaron Hughes.
Eden Hazard crosses the ball, clearance by Hugo Rodallega.
The assistant referee flags for offside against Emboaba Oscar. Free kick taken by Mark Schwarzer.
Centre by Steve Sidwell.
Cesar Azpilicueta produces a cross, Fernando Torres takes a shot. Save made by Mark Schwarzer.
Dimitar Berbatov gives away a free kick for an unfair challenge on Oriol Romeu. Indirect free kick taken by David Luiz.
The referee blows for offside. Mark Schwarzer takes the indirect free kick.
Hugo Rodallega is adjudged to have handled the ball. Direct effort from the free kick comes in from David Luiz.
Centre by Branislav Ivanovic, Philippe Senderos makes a clearance.
Dimitar Berbatov produces a right-footed shot from inside the area that clears the crossbar.
A cross is delivered by Ryan Bertrand, clearance by Philippe Senderos.
Free kick awarded for a foul by Mahamadou Diarra on Ryan Bertrand. Emboaba Oscar takes the free kick.
The ball is swung over by Eden Hazard, clearance by Damien Duff.
Inswinging corner from left by-line crossed in by Eden Hazard, Philippe Senderos manages to make a clearance. Foul by Ryan Bertrand on Giorgos Karagounis, free kick awarded. Philippe Senderos restarts play with the free kick.
Eden Hazard gives away a free kick for an unfair challenge on Giorgos Karagounis. Mark Schwarzer takes the free kick.
Oriol Romeu fouled by Steve Sidwell, the ref awards a free kick. Indirect free kick taken by Ashley Cole.
Nascimento Ramires concedes a free kick for a foul on John Arne Riise. Indirect free kick taken by John Arne Riise.
Effort from just outside the area by Nascimento Ramires goes over the bar.
Free kick awarded for an unfair challenge on Giorgos Karagounis by Fernando Torres. Sascha Riether takes the indirect free kick.
Damien Duff gives away a free kick for an unfair challenge on Eden Hazard. Free kick taken by Ryan Bertrand.
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