Here are some of the key talking points from the game:
Lack of attacking threat:
This game was the fifth match in the Premier League this season that has seen both teams fail to register a shot on target in the first half. In the last four times this has happened, Fulham have been involved in two of them and Crystal Palace have been involved in another one.
This can only be something Palace and Roy Hodgson can hope to improve on as the rest of the season continues.
The team did show attacking intent through players such as, Andros Townsend, who made some great runs and crosses into the box, one of which was nearly directed past Alphonse Areola by defender, Joachim Andersen.
However, Christian Benteke's movement needs to be taken into account today. The Belgian striker was given a start today in place of striker, Jean-Philippe Mateta, after his substitute performance on Monday, which saw him score a beautiful last-minute volley to beat rivals, Brighton & Hove Albion, 2-1 at the Amex Stadium.
The striker grew into the game as it went on but there was multiple set pieces put into the box that were begging for that final touch.
His aerial ability is obviously a serious threat to any teams and he showed this after rising high from a corner to head the ball towards goal late on but he struggled to get into the game in the first half.
Resolute defensive display
As Fulham grew into the game and pressed Crystal Palace, they looked like they could have grabbed an important three points in the second half.
However, there was no way through for their London rivals, and they will have their defenders and goalkeeper, Vicente Guaita, to thank for keeping their clean sheet.
Fulham came out the blocks strong after Fulham manager, Scott Parker, introduced left-back, Antonee Robinson, to the game at the start of the second half. He brought a strong attacking presence to his side, running down the flank and looking to provide crosses into the box.
He was dealt with well though by the Crystal Palace backline, with experienced right-back, Joel Ward, stopping him from getting balls in and left-back, Patrick van Aanholt, stood strong when Portuguese winger, Ivan Cavaleiro, threatened to get past him
However, a cross did come in from Ivan Cavaleiro and striker, Josh Maja's, strong close range header looked to be flying in, only for Vicente Guaita to dive down quickly and produce a superb save to keep the game.
The goalkeeper had many shots hit at him from long range and set pieces which he was comfortably able to gather for his team
Cahill really showed his experience today for his side and put in a very strong defensive display to help earn his team a point.
A big part of why Crystal Palace might have struggled to get going today is the pressing play Scott Parker's side showed when they didn't have the ball in their possession.
They pushed the Crystal Palace team trying to regain the ball as soon as they lost it, moving in numbers and putting their players under pressure instantly. It caused Palace to play passes they wouldn't have wanted to play and they couldn't play patiently on the ball when they had it.
Fulham were on every single player and dispossessed them if a pass was slightly off or a first touch was too big and it really limited Crystal Palace's attacking and creative players when they had the ball due to a lack of space.
How do Palace bounce back?
Their next game welcomes title challengers, Manchester United, to Selhurst Park on the 3rd of March.
In order to get points out of their next fixture, Crystal Palace need to shore up their defence even more as there were lapses where a team of Man United's quality will be able to punish them if they allow their attacking players the positions that players such as Ademola Lookman and Josh Maja were allowed today.
The attacking threat from Andros Townsend on display today was good but he needs to try and sharpen up on some of his crosses towards Christian Benteke if they are to improve.
The introduction of Jean-Philippe Mateta might be what Roy Hodgson needs to get something out of this game as it allows Benteke to come on and make a nuisance of himself against more tired United defenders late in the game.