The two top-flight sides shared both the spoils and the points on Saturday afternoon with neither side able to break the deadlock in a very subdued game
The Midlands side had the lion's share of the chances at the Britannia Stadium but after being unable to break the deadlock, they picked up a point that sees them extend their undefeated run to five top-flight matches.
The home side will also be happy with a result that sees them end a run of three straight league losses that has left them languishing towards the bottom of the table.
Stoke manager Mark Hughes opted to make three changes from the side that lost 1-0 to Fulham before the international break, with a double switch in the middle seeing Charlie Adam and Oussama Assaidi drafted in.
But while that reshuffle appeared to be tactical, Hughes had less choice in handing Andy Wilkinson his first league start of the season, with in-form defender Geoff Cameron struggling with a calf injury.
His counterpart, Steve Clarke, maintained continuity from the 1-1 draw with Arsenal, with the only change seeing striker Nicolas Anelka replaced by Victor Anichebe, who returned from a groin injury.
It was the visitors who got off to the better start too, with Stephane Sessegnon seeing his shot sail over the crossbar in the ninth minute shortly before he went one-on-one with Asmir Begovic, only to see the goalkeeper deny him with a fine save.
Hughes' men soon worked their way back into the game, and their best chance came just before the break when a clever free-kick was met by Stephen Ireland, with Boaz Myhill doing well to get down low to his effort.
The visitors came out more brightly at the start of the second half, and their emphatic penalty appeals were waved away in the 59th minute by referee Howard Webb when Saido Berahino's heel appeared to be caught by Adam.
The incident did little to disrupt Stoke, however, who again went close through Ireland soon afterwards, only to see that effort fly over the crossbar.
Adam then challenged Myhill with a long-range effort.
Despite that pressure, Stoke could not find the back of the net, though, meaning that Hughes must wait a little longer for his first win in the league since the end of August.
And it could even have been defeat as West Brom pressed for a winner late on, with their best chance seeing Sessegnon go one-on-one with Begovic only to see the goalkeeper tip his effort wide.