Both sides struggled in the final third in this heated encounter between two teams who both hold Champions League qualification aspirations
An ill-tempered first half that saw the referee produce seven yellow cards failed to provide the standard of play many expected, with neither team forcing the opposition keeper into making any notable saves.
The best chance of the opening 45 minutes fell to Atletico's Jose Antonio Reyes, but he shot disappointingly wide when in space 12 yards out. The hosts dominated proceedings throughout the half, but failed to turn both posession and a number of promising free-kicks into any clear-cut chances.
The second half started brightly with Sevilla looking the more dangerous of the two sides. Atletico had their goalkeeper Thibaut Courtois to thank for keeping them level, after the Belgian youngster, on loan from Chelsea, did brilliantly to keep out first Jesus Navas and then Manu del Moro.
Navas, who looked to be Sevilla's main outlet at this point, then raced down the right-hand side but saw his crisp pull-back fly agonisingly behind the on-rushing Kanoute in the Atletico penalty area.
Atletico looked to regain a grip on the game in the centre of the pitch by bringing on Gabi for Tiago, and this change nearly paid dividends as Radamel Falcao burst through and struck a decent effort that only stayed out because of a fine save from Javi Varas.
Sevilla introduced Alvaro Negredo on 75 minutes as they sensed the win was there for the taking following their impressive performance in the second half. Negredo's very inclusion in their first team squad came as a surprise to many, after injury had appeared to rule him out of the game.
This had little impact on the game though as chances were few and far between over the last 10 minutes.
With both teams aiming for Champions League qualification this season, a draw will have suited neither side, but, based on the balance of play, was a fair result.
Follow La Liga LIVE on Goal.com:
Commentaries, Stats, Player Ratings and much more,
Visit Goal.com Live Scores!