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Everton dominated their hosts during an impressive opening 39 minutes.
During that time they made 264 passes to their opponent's 122, managed five shots and—crucially—prevented Arsenal from firing off a single strike at goal.
Steven Pienaar's narrower role was especially key to this. The South African left Carl Jenkinson unsure of when to track him and freed up space for Bryan Oviedo to overlap. It was no surprise that Oviedo and Pienaar exchanged more passes than any other players during the first half.
This opening spell was completely controlled by the Toffees, something Martinez would have undoubtedly enjoyed. However, while this reduced the chances of Everton losing, Arsenal were never truly exposed.
Sitting deep is a better way of stifling Romelu Lukaku, and the Gunners did a good job of slowing the tempo and eventually crowding the visitors out.
Arsenal then had more penetration in the final six minutes than the Toffees had at any time during the first half, highlighting how areas of Martinez's approach still need adjusting to.
At the same time, such an authoritative spell against the Premier League leaders show a glimpse of its full potential.