Arsenal missed out on a chance to return to the Premier League's top four after they were held at the Emirates Stadium by bottom-club Burnley.
Forward Alexandre Lacazette went closest for the Gunners, poking an Emile Smith Rowe cutback narrowly wide midway through the second half.
Smith Rowe also forced a fine diving stop from Burnley keeper Nick Pope in the second period while Martin Odegaard was denied by the stopper's feet with a powerful effort in the first half.
A draw for Burnley ended a run of three straight defeats with the Clarets now four points off safety having played four games fewer than 17th-placed Norwich City.
Meanwhile Arsenal, now winless in their past five matches in all competitions, go sixth, two points off Manchester United in fourth.