Manchester United were held to a barren draw by Arsenal on Saturday to dent their chances on closing on league leaders Manchester City.
The visitors had the better chance to take the lead in the first half as they took possession but failed to convert from the chances created.
Ole Gunnar Solskjaer was expecting to overturn this weeks loss to bottom side Sheffield as Cavani failed twice to capitalize on open chances created.
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The Uruguay striker clipped a Luke Shaw cross inches from the post before making a similar move minutes to the end of the game when his scissors kick went wide for a goal kick.
Arsenal also had better chances to lead as French striker Lacazette had his free kick hit the bar and back into play.
Pepe saw his inch perfect attempt to curl the ball past De Gea go wide in one of the best attempts made by the on form former Lille forward.
Mikel Arteta who was already missing a number of players including Pierre-Emerick Aubameyang (personal reasons) got worried when former Chelsea winger Willian picked up an injury.
Harry Maguire was involved in a tackle with Lacazette as the French man stepped out for treatment and replaced by Nketiah in the last minutes to go.
The results leave Arsenal in position 8, a position above Chelsea who are set to play on Sunday against Burnley.