Debutant Richarlison, Everton's signing at the club, scored a goal in each half on either side of Ruben Neves's equalizer from a free-kick, awarded after Phil Jagielka received a straight red card at the end of the first half.
It seemed that the first game of the Premier League at the home of the Wolves for six years would end in disappointment, but the team of Nuno Espirito Santo again responded to 10 minutes from the end when Raúl Jiménez crowned a good solo exhibition with a header.
The goals and the red card were the only notable pieces of the first half.
The manager of the Wolves, Nuno Espirito Santo, was satisfied with a point.
"I'm satisfied with the way we went back, the character," Nuno told BT Sport.
"There were many positive aspects, but we also made mistakes in the way we admit it.
"We started a little nervous, but the team reacted well and began to play the style and movement that we should do.
"For many of us, in the first game of the Premier League, we gave a good response, I think we are in a process of growth as a team."
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