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Michael Keane's headed goal 13 minutes from the end secured Everton another impressive victory, despite the absence of forward Dominic Calvert-Lewin, as Wolves' season threatens to unravel.
It was nearly 10 years ago, with Carlo Ancelotti in the final stages of his tenure at Chelsea, when Everton last secured three points at Molineux.
Here was further evidence of Everton's upward trajectory under their Italian manager as his team moved back into the Premier League's top-four with a first win here since April 2011.
Ancelotti introduced Richarlison for Sigurdsson with 14 minutes left, but it was another substitute, Andre Gomes, who provided the crucial contribution.
Richarlison was on the Everton bench after missing the FA Cup tie against Rotherham United, leading to Gylfi Sigurdsson playing as the central figure of a front three.
Wolves, though, were level eight minutes later.
Everton have won six of nine away games this season under Ancelotti and perhaps his lofty ambition to return the club to European football is achievable after all.
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