Patrick van Aanholt was the Sunderland hero with his 83rd-minute equaliser lifting his team off the bottom of the Premier League.
But his late left footer following an excellent team move was deemed as lucky by "disappointed" West Brom boss Tony Pulis.
The Baggies led 1-0 at the break through Nacer Chadli's third goal since his £13million transfer deadline move from Tottenham.
Chadli was put through by Matt Phillips in the 35th minute and finished neatly with his left foot into Jordan PIckford's left corner.
But Sunderland refused to give up and van Aanholt began the move for the equaliser deep inside his own half and finished it for good measure, the Dutchman driving his shot from Duncan Watmore's cross into the turf and high into Ben Foster's net.
Pulis said: "We are disappointed.
"We had over 20 crosses, 18 shots and we had the opportunity [to win]. We needed the second goal.
"The goal was disappointing because he hits it into the ground.
"We have got two players in between him and the goal if he hits it, and we had made a couple of really good blocks prior to that, and he hits it into the ground and it goes in the top corner.
"But I am very, very pleased with the players. The players worked again hard. The running stats are very, very good, the stats going forward are good, but the big thing is that final third.
"We just need that little bit more quality.
"Chadli has been fantastic since we signed him. He's got that little bit of quality that you need. He slows the game down, the makes the right pass most times and his goal was real quality."