Bruno Fernandes made his debut, partnering Daniel James and Anthony Martial in attack as Juan Mata made a return from Wednesday’s Carabao Cup exit to Manchester City.
Wolves gave the hosts an early scare after Romain Saiss worked an opening in the area after tossing through the defence, but the final attempt flew over the top five minutes in.
Red Devils shot-stopper David De Gea then pulled across to palm Matt Doherty’s header from the back post aside on 20 minutes following a corner kick.
Fernandes was given his first sight on goal following the 33rd minute, but the Portuguese international’s effort swerved past the upright beyond Rui Patricio.
No changes right after halftime happened for either side, as Diogo Jota fumbled a big chance seven minutes into the second half when he lost control of possession with the goal at his mercy.
Fernandes almost capped his debut with a goal when he fired in a free-kick on 58 minutes, but Patricio scrambled across the goal-line to pull off a save.
The Red Devils kept knocking two minutes thereafter as Mata controlled a ball on the half-turn before firing narrowly wide of Patricio’s goal.
United decided to refresh their line-up following the 72nd minute and introduced Mason Greenwood, who replaced Andreas Pereira. Greenwood almost had an instant impact into the match with a fierce effort six minutes later, but Patricio denied the Englishman.
A golden opportunity for United went astray three minutes to the end as Maguire misfired a ball to the back post with the goal-gaping.
Diogo Dalot should’ve given the Red Devils all the points with the last kick of the game, but fired wide from point-blank range as the match ended honours even.