Silva's side have scored at least two goals in six of their eight games against teams outside the big six and after stumbling in some of their early matches, they have won their last three in that category.
But five minutes in Coleman delivered his response to growing criticism by firing an effort across goalkeeper Mat Ryan and inside the far post. We're on the back of three wins and three clean sheets, which is very hard for the likes of ourselves to do.
Gylfi Sigurdsson made a awful hash of his shot on the end of Coleman's 11th-minute cutback.
The emergence of Bernard on the left-wing was enough to shift Richarlison up front, with Theo Walcott on the right side and Cenk Tosun on the bench.
What does it mean?
Everton's skipper had not found the net since before a horrific leg break while playing for Republic of Ireland against Wales last March.
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Everton manager Marco Silva hints that the club could make a decision on the long-term futures of loanee duo Andre Gomes and Kurt Zouma in January. It should have been a moment of unbridled joy but Coleman, who has struggled for form and fitness this term, decided it was time to make a point as he tore off furiously towards the Gwladys Street End, cupping his ears. "When he plays as a striker it is not just about scoring".
"I'm used to scoring goals, I was a little bit disappointed with my last performance and any time I score I go a little bit mad".
Chris Hughton's side will be more confident of their capabilities on the road now and they did have back-to-back away wins around this time a year ago, but it looks hard for them to bottle up Everton or match them on the scoring front.
Brighton were top of the list for games with under 2.5 goals last season, and even more emphatically so on the road, but they may be overridden by Everton's figures under Silva.
- All 11 of Everton forward Richarlison's Premier League goals have come under manager Marco Silva (11 in 33 apps under Silva, 0 in 14 apps under Javi Gracia).