The Gunners boss was bidding for a first victory over his Portuguese adversary at the 10th attempt, knowing that was what his side required to return to the top of the Barclays Premier League at Christmas.
But a defensive-minded Chelsea claimed a draw which took them fourth in the standings and Arsenal moved second, behind leaders Liverpool on goal difference.
Chelsea boss Jose Mourinho criticised Mikel Arteta for overreacting to a John Obi Mikel tackle and taunted Arsenal after extending his unbeaten record over the Gunners in Monday night''s 0-0 draw at the Emirates Stadium.
Arteta was on the receiving end of two ankle-high tackles from Mikel and Ramires, while Arsenal might have had a penalty after Willian''s challenge on Theo Walcott in the first half.
Asked about Arsenal''s reaction to the decisions which went against the hosts, Mourinho said: "They like to cry, that''s tradition.
"I prefer to say that English people - and I give one example, Frank Lampard - would never provoke a situation like that.
"Players from other countries, especially some countries, they have that in their blood.
"Foreign players are bringing lots of good things, but I prefer English blood in football and English blood in these situations is ''come on, let''s go''."
Asked specifically about Mikel''s tackle, Mourinho insisted it was fair.
He added: "It was a hard one, an aggressive one. Football is for men or for women with fantastic attitude.
"There are other sports without contact and fantastic sports and sports that demand a lot from the players, but no contact.
"Football is a game of contact. English football, winter, water on the pitch, the sliding tackles become at a fantastic speed. So be proud, play with proud."