Neither side could break the deadlock in an end-to-end encounter, with the home fans desperate for a victory to end their stint in the top flight.
Wolves boss Terry Connor admitted that it has been a poor season for the Midlands club but praised the outfit’s fans for their support.
“It’s been a long tough season and ultimately a disappointing one for us,” he told Sky Sports.
“But it was nice to give the fans something to go home with throughout the summer and come back next year and support the club again.
“We knew how good Everton are, they were the form side so it was important to knuckle down and defend, yes they gave us one or two scares, but overall I thought we kept them at bay.
“The fans that stayed behind were great. They were great for the majority of the season. We’ve had a disappointing season and in many ways we’ve let them down.
“So it was nice they stayed behind and we certainly wanted to show our appreciation for the support throughout the season,” he concluded.
By Gareth McKnight