Ole Gunnar Solskjaer's side remain two points clear of the relegation zone having taken a mere 10 points from their opening nine games.
United came close to victory on Sunday, taking the lead through Marcus Rashford towards the end of the first half.
But an equaliser with five minutes of normal time remaining from Adam Lallana stopped Solskjaer from picking up a third league win of the season.
It is United’s worst league start since the 1986-97 season, when Ron Atkinson’s side took only five points from the first nine games.
Atkinson was eventually dismissed and replaced by Sir Alex Ferguson, who would lead the club to unparalleled success over the course of the next 27 years.
Solskjaer has now overseen just two wins in United’s last 14 league matches, with six draws and six defeats.
United now face a Europa League trip to Partizan Belgrade, before consecutive away league games against Norwich City and Bournemouth.
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