The Red Devils surprised many when Cristiano Ronaldo started on the bench along with Paul Pogba as Edinson Cavani and Fred were recalled to the line-up.
Cavani’s inclusion was almost justified 20 minutes in when his first-time header in the centre of the area led goalkeeper Jordan Pickford to stretch across and parry for a corner-kick.
United weren’t fully edged closer to the half-hour mark but decided to launch another threat through a low snap shot from a tight angle by Mason Greenwood which Pickford saved.
It wasn’t long thereafter before the Toffees began to bomb forward and inconsequently brought David De Gea to a low diving save from a rasping shot outside the area by Demarai Gray.
However, the breakthrough came United’s way two minutes to halftime when Anthony Martial curled a square pass from Bruno Fernandes past Pickford.
With nine minutes gone the second half, United increased their firepower with Ronaldo handed his 200th Premier League appearance and Jadon Sancho coming on too.
Everton weren’t bothered midway in the second half equalised as Andros Townsend finished off a quick counter-attack after staying level with the overall play.
Substitute Pogba came close to restore United’s advantage with a rising header off a corner seven minutes to fulltime, but the Frenchman nodded wide.
The Toffees looked to have gone ahead with six minutes to go from a tap-in by Yerry Mina following a ball from the right, but it was disallowed for offside.
The Red Devils applied more pressure in the latter exchanges, but still couldn’t get an opening and in the end left matters all square as both sides missed out on top spot.