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Martinez kept his more direct options back for the final half hour, either expecting a lead or predicting a late Chelsea onslaught.
In theory, this should have provided far more of a threat than it did, with McGeady, Deulofeu and Barkley all introduced late on. Yet, despite this serious attacking potential, Everton's attacking play wilted during the closing stages.
Part of this was due to Ross Barkley's limited production.
The youngster emerged with a half-hour to play, tasked with initiating counter-attacks at pace.
Let down by a sluggish touch, a lack of awareness and some delayed anticipation, he struggled to make an impact, leaving several key opportunities wasted.
He failed to make any impression of note, making just 17 touches in 27 minutes, losing the ball three times and connecting just six successful passes.
For all his brilliance at the start of the season, Barkley's appeared severely short of form on his return from injury. This error-strewn showing was one of his worst contributions and will be a concern for his manager.