The point means United could not follow up their victory against arch-rivals Liverpool last week which ensured Champions League qualification for next season.
The Red Devils created little pressure in the final third, and instead ot was the home team that showed flashed upfront but goalkeeper Lammens came up trumps.
Chemsdine Talbi went close after just five minutes, but curled his effort with Lammens sprawling.
The Belgian shot-stopper then had had to be quick off his line to deny Brian Brobbey, who broke clear after evading the attention of returning defender Lisandro Martinez.
Sunderland then had a strong penalty claim turned down in the 19th minute when Enzo Le Fee's shot appeared to hit the hand of Kobbie Mainoo, the referee waived play-on.
United only showed intent to get at the hosts late in the second half as Matheus Cunha had an effort saved, but it the end a point was all they barely deserved.