Andros Townsend scored for the third time in four matches to earn Everton a 1-1 draw at Old Trafford.
Townsend, who scored for Crystal Palace at the same venue last season, converted an Abdoulaye Doucoure pass at the end of a swift counter-attack started by Demarai Gray in the 65th minute.
Anthony Martial had put Man Utd ahead just before half-time when he curled home his first Premier League goal since February from a Bruno Fernandes pass.
Cristiano Ronaldo came off the bench in the second half but was unable to find a winner on his 200th Premier League appearance.
Indeed, it was Everton who thought they had won it late on but Yerry Mina's close-range finish from a Tom Davies pass was ruled out for offside following a VAR review.
Man Utd and Everton sit third and fourth respectively, both on 14 points.
Man Utd: 16 Oct v Leicester (A)
Everton: 17 Oct v West Ham (H)
Referee: Michael Oliver. Assistants: Stuart Burt, Simon Bennett. Fourth official: Paul Tierney. VAR: Stuart Attwell. Assistant VAR: Harry Lennard.