Raul Jimenez's debut goal earned Wolves a point on their Premier League return as Richarlison's brace on his Everton bow proved insufficient in an entertaining 2-2 draw at Molineux.
Everton twice led through goals from winger Richarlison, who arrived in a deal that could reportedly reach £50million from Watford, the latter coming despite Phil Jagielka's reckless red card.
But Nuno Espirito Santo's men ensured they would avoid defeat in their first Premier League match since the 2011-12 season when Jimenez – one of four new faces in Wolves' starting XI – nodded home Ruben Neves' cross.
Neves had earlier levelled proceedings with a classy free-kick straight after Jagielka's red, and Marco Silva will reflect on a frustrating debut outing as Everton boss.
A rocking Molineux was silenced in the 17th minute. Michael Keane attacked a Leighton Baines free-kick that Wolves failed to deal with and Richarlison prodded home from close range.
The pyrotechnics that preceded kick-off was not initially followed with fireworks by the hosts on the pitch, but the complexion of the match changed four minutes before the break when Jagielka lost control of a routine pass then inevitably saw red for an ugly lunge on Diogo Jota.
From the resulting free-kick, Neves curled an unstoppable effort into the top-right corner.
Cenk Tosun and Jimenez exchanged missed efforts before Everton regained the initiative after 67 minutes.Richarlison combined with Tosun on the left of the area and coolly stroked home into the far corner.
But Wolves fought back again and Jimenez earned a share of the spoils 10 minutes from time when he met Neves' excellent left-wing cross with a glancing header past Jordan Pickford.
The major talking point was the sending off of Phil Jagielka. Everton may get to appeal the red card, beIN SPORTS analyst Andy Gray has had his say on the tackle.
Raul Jimenez with a debut goal! 2-2!
Goal! Richarlison curls the ball into the bottom corner, Everton go 2-1 up in some style!
Halftime analysis from Andy Gray. Phil Jagielka will be regretting that tackle.
43- Ruben Neves with a peach of a free-kick! 1-1 GAME ON!
Uhoh! Phil Jagielka has been sent off for Everton.
17- GOAL! Summer signing Richarlison taps in from close range! What a start for the Brazillian!
Ruben Neves cracks one from distance, it lands on the roof of the net.
Wolverhampton Wanders will be hoping to mark their return to the Premier League in style when they face Everton on Saturday evening. You can watch the Live & Exclusive stream of the game via beIN SPORTS CONNECT.