Twice, the Cherries led through Dominic Solanke and Justin Kluivert and Bournemouth were denied the opportunity to win the game at the death after a controversial VAR review overturned the decision to award the home side a penalty.
A point leaves United still 10 points adrift of Aston Villa and Tottenham in the race for a top-four finish with six games to go.
The Red Devils have now won just once in their last seven Premier League games.
Once again, it was United’s defensive deficiencies that were exploited, as Bournemouth just missed out on a famous double after winning 3-0 at Old Trafford earlier in the season.
French teenager Willy Kambwala kept his place at centre-back with Raphael Varane, Lisandro Martinez and Victor Lindelof among those absent due to injury.
But Kambwala had a moment to forget for the opening goal as his slip allowed Solanke to pick his spot and fire home his 19th goal of the season.
United had barely threatened as an attacking force before they levelled against the run of play on 31 minutes.
Alejandro Garnacho’s deflected cross fell perfectly into the path of Fernandes to volley into the roof of the net.
Bournemouth were back in front within five minutes, as this time Kluivert took advantage of the acres of space offered by the United defence inside the box to drill low past Andre Onana.
Ten Hag’s future as United boss becomes more uncertain with every passing week and poor performance.
However, the Dutchman was rewarded for a daring change at half-time as he replaced Garnacho with Amad Diallo.
The Ivorian winger shot to fame with an extra-time winner against Liverpool in a thrilling FA Cup quarter-final last month.
And he helped earn the visitors a point as his deflected shot was handled by Adam Smith inside the area.
Fernandes stepped up to slot the resulting penalty past Neto.
Bournemouth thought they had a spot-kick of their own deep into stoppage time when Kambwala blocked Ryan Christie’s charge into the box.
After a penalty was initially awarded, VAR intervened to say the foul had taken place just outside the box.
A point leaves Bournemouth still in 12th, eight points adrift of United in the European places.
AFP