The hosts thought they scored the opening goal inside 10 minutes through John Lundstram‘s header but the VAR ruled it out for offside.
United goalkeeper Dean Henderson almost scored a bizarre goal from a clearance but the ball went narrowly over the bar after 56 minutes.
John Egan thought he had equalised but the goal was ruled out for offside after McGoldrick’s touch.
Basham missed a golden chance late on when he missed a header inside the box.
The hosts levelled with three minutes remaining when Arsenal failed to clear from a throw-in and McGoldrick scored from close range.