Wolves substitute Sasa Kalajdzic hit dominant Everton with a later sucker-punch only two minutes after his arrival at Goodison Park.
The giant 6ft7ins Austrian guided Pedro Neto’s cross home with a header after 87 minutes to earn the visitors their first win of the season and leave Everton bottom of the table without a goal or a point.
It was rough justice on Sean Dyche’s men who had squandered a number of chances in a game that saw both goalkeepers pull off excellent saves.
The mood among Evertonians was more sullen and resigned rather than toxic in the closing stages with many fans leaving even as their team chased an equaliser in five minutes of injury time.