Everton striker Calvert-Lewin scored a late goal as Toffees came back twice to secure a point at Old Trafford.
Manchester United took the lead in the first half as Edinson Cavani scored from Marcus Rashford cross before Bruno Fernandes made it two in the first half of the game.
Abdoulaye Doucoure and James Rodriguez had earlier cancelled out first-half goals from Edinson Cavani and Bruno Fernandes.
McTominay gave United the lead again in the second half of the game before Calvert-Lewin scored the final goal to give the Toffees a point.
United – who appeared to be in control after Edinson Cavani and Bruno Fernandes had put them two up at the break – missed a chance to go joint-top of the Premier League table as a result and now sit two points behind Manchester City, who have two games in hand on their neighbours and play Liverpool
Everton, meanwhile, are seven unbeaten away from home and move up to sixth in the table.
