Tony Pulis returned to his old club Stoke City to earn a point in his 1,000th game in charge as a manager.
Salomon Rondon's injury time header pulled Albion level after Joe Allen's goal in the 73rd minute.
Pulis felt the draw was a fair result on his return to Staffordshire despite Albion having to cope with wave of Stoke attack in the second half.
"That was a deserved point," said the Welshman.
"We conceded a scrappy goal but the reaction of the players was absolutely first class. In the last 20 minutes we really pressed and we got the point we deserved.
"I'm pleased because if we had lost I'd have been disappointed. We haven't got the array of talent like they have but the work-rate they put in was fantastic.
"We've got a fit group who never give up. We had to respond from going a goal down. I was so pleased with the attitude."
Did Albion deserve a share of the points at Stoke? Have your say at Baggies Banter.