Marcos Alonso then made it 2-1 for the visitors six minutes from time, with the Spanish defender flicking home Davide Zappacosta's sweet cross - although not for the first time this season, Arsenal's defence looked amateurish.
Arsene Wenger faces further Football Association disciplinary action after describing disputed refereeing decisions as "concerning coincidences".
Elina Svitolina progressed to the semi-finals of the Brisbane International tournament as Johanna Konta retired from the game with the score reading 1-6, 7-6 (6), 3-2 in Svitolina's favour.
Wenger: "We had to deal with a farcical decision on the penalty, but we knew that before as well".
Arsenal were buoyant but were flattened four minutes later when Bellerin dangled a leg and Hazard went down theatrically - much to the annoyance of Wenger, whose side were denied victory at West Bromwich Albion by a late penalty on Sunday.
Chelsea is the current champion of English Premier League but it seems that they could not grab the title one more season. As an example, he said none of the newspaper reports from Tuesday's Swansea-Tottenham game made an issue of Spurs' scoring an offside goal.
Sky Sports mixed the pot by having the two of them give post-match interviews simultaneously. So nothing will change. But nobody talks about it. "So that means nothing will change". "I saw the ball in the air and I tried to challenge for it".
"It is not a lucky period for him", Conte said. "But I must be honest I didn't see this situation, and for this reason I don't want to comment".
"We've got to take each game as it comes, keep playing in this time, keep improving and we'll see what comes in March for the next global games". There's frustration for coaches but we must accept the referee's decisions.
When the dust settled on last night's 2-2 thriller, neither Arsenal nor Chelsea will have been satisfied with the result.
"I want to be going to Russian Federation", said Wilshere.
"I'm in England for 21 years, I try to serve this game with honesty and integrity and when I have something to say I will say it".
However, Since Cech joined Arsenal in 2015, he has failed to save any of the 15 penalties he has faced. "Everybody had given up on him". Today, nobody would be surprised if he was selected again.