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The home side secured all three points in the West London derby thanks to a brace from Kai Havertz.
It could have been a very different scoreline if Senegalese international Mendy wasn't at his best.
23 clean sheets for Edouard Mendy!!! What a signing he has been for Chelsea :blue_heart: pic.twitter.com/uifC7NKH4E- Frank Khalid (@FrankKhalidUK) May 1, 2021
Edouard Mendy has been absolutely incredible today man. Saved us many times.- Mod (@CFCMod_) May 1, 2021
That's now 16 clean sheets in 28 Premier League games for Édouard Mendy.- LDN (@LDNFootbalI) May 1, 2021
At 57%, Mendy has the best clean sheet record of any goalkeeper in the PL this season (with 10+ appearances). Fantastic. pic.twitter.com/xCqWryYPS7
He memorably made several cracking saves, including a super stop from Ola Aina's deflected effort. In fact, Fulham's Bobby Reid did his best to try and put off the former Rennes goalkeeper.
As Mendy was preparing for a corner in the second-half, the striker unstrapped his gloves in a bizarre moment - not once but twice.
It was certainly a big talking point at the weekend. Have you ever seen anything like it?
:rotating_light:MATCHDAY:rotating_light:- Chelsea Exeter TV (@ChelseaExeterTV) May 1, 2021
:boom:NEVER SEEN BEFORE:boom:
Fulham player, Bobby Reid tried to take off Edouard Mendy's gloves, when corner kicks were taken.
He managed to unstrap his gloves twice. #ChelseaExeterTV #CFC pic.twitter.com/EDdtUAlL95
Away from the bizarre incident involving Mendy and Reid, Chelsea manager Thomas Tuchel was delighted with their performance.
He also praised goalscorer Kai Havertz after the full-time whistle.
"Still there is room for improvement but I am very happy," said the German manager.
"He was decisive, he was involved with Timo Werner as a double striker and with Mason Mount and Hakim Ziyech as the four offensive guys, he was always involved in dangerous attacks and situations.
"For me it was an important individual example.
"The players today who maybe had a tough decision on them last Tuesday, like Kai against Fulham, didn't play with the attitude that 'oh, now they need me' and 'I wanted more time in Madrid, why do they play me now only against Fulham'.
Kai Havertz vs Fulham:- LDN (@LDNFootbalI) May 1, 2021
1 key pass
100% aerial duels won
Man of the Match. pic.twitter.com/68sPQ11G2S
He continued, saying: "This was absolutely not the case. He took his chance, he showed up, this is what we need all the time and especially in situations like this, you need guys who are fully committed. That means if you have a chance to show up, then show up.
"Whether you have five minutes, 15 minutes or a whole game, whatever it is, show that you are ready and give me a headache for the next game.
"He did that and it is an example for what the whole team did and they get full credit from me."