"[We were] the best team on the pitch", he told Sky Sports.
He bowed his head in disappointment as Barkley scored in the dying seconds after a goalmouth scramble, but then reacted angrily as Chelsea technical assistant Marco Ianni celebrated in front of him before then pumping his fists in Mourinho's direction again.
But in his post-match press conference, Mourinho revealed Ianni had approached him in the tunnel after the match and apologised.
That made it five goals in just eight appearances this season for Lamela, who was making his first league start of the campaign.
Chelsea fans, who once lauded their Portuguese hero by singing his name long and loud, responded to Mourinho's behaviour with a far from adulatory version of the song.
These Chelsea fans were not happy with Willian starting today.
"Maurizio saw and Maurizio said he would take care of it internally and [for Mourinho] to accept his apologies which I did".
The dramatic finish was then overshadowed by the late scuffle, which had been instigated by Ianni's celebrations that Mourinho noted were "very impolite".
Mourinho was incensed after being taunted by a Chelsea coach.
"We made a mistake", he said.
I spoke with Jose and I spoke with my staff because we were on the wrong side.
"Maybe player by player they are the best team in the Premier League", Sarri said. In between the also face Everton and in-form Bournemouth.
All of the top three remain unbeaten.
Manchester City went back to the summit after their 5-0 win over Burnley.
City's latest masterclass, with goals from Sergio Aguero, Bernardo Silva, Fernandinho, Leroy Sane and Riyad Mahrez, brought manager Pep Guardiola as much delight as seeing Kevin De Bruyne back in action from the bench after his injury layoff.
"I have spoken about my team, of course, we played our football very well for 60 minutes", he said.
Beram Kayal deflected home what turned out to be the victor in the 29th minute and the Seagulls produced a resolute defensive display as the home side spurned numerous good chances to equalise.
Chelsea had most of the possession and looked in control until Martial thumped in the equaliser in the 55th minute against the run of play after Chelsea keeper Kepa Arrizabalaga had kept out a close-range Juan Mata shot.
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