Arsene Wenger's side struggled to break down the visitors who were far from negative and had chances of their own to snatch victory.
Leading scorer Robin van Persie was twice denied by Mark Schwarzer from close range after he was set up by the impressive Andrey Arshavin.
But he could not prevent the Gunners registering a fourth successive 0-0 draw in the league for the first time in 15 years.