Ben Wilson saved a late Karlan Grant penalty to earn the Sky Blues a point at the Hawthorns.
West Brom were awarded a penalty in the last minute of stoppage time, but Ben Wilson made a superb stop to deny Karlan Grant.
The game started for a battle of possession, with a first opportunity falling to the hosts when Semi Ajayi broke down the right and put a ball across the face of goal, but Michael Rose and Dom Hyam combined well to clear their lines.
At the other end, City’s first chance of the game came from a good ball from Rose to find Viktor Gyokeres and he released Callum O’Hare, who charged at the Baggies defence, eventually teeing up Jamie Allen, but his attempt to find the bottom corner saw his shot go wide.
West Brom’s first attempt on goal came through Andy Carroll as the striker lashed a shot wide of goal from the edge of the area.
Ben Wilson was called into action for the first time of the afternoon when he got the better of Karlan Grant, standing tall to deny the striker’s attempted lob.
The final chance of the opening 45 minutes fell to City and it was good work between Gyokeres and O’Hare, which enabled the Swede to release a strike at goal, but his effort went over the bar.
HALF-TIME: West Brom 0-0 Sky Blues
It was West Brom who created the first chance of the second half, and it was arguably the best chance of the game so far.
Adam Reach with a corner into the box and it was met by the head of Matt Clarke, but he was denied by a splendid save from Ben Wilson.
Karlan Grant was next to try his luck from distance, but his shot was high and wide and didn’t trouble the Sky Blues goal.
City pushed for an opener and had a chance when Ian Maatsen picked up the ball wide left and found the on-running Jamie Allen in the box, but he couldn’t direct his header on target and headed over the bar.
Martyn Waghorn was introduced into proceedings, and he almost found the games first goal when his free-kick from the edge of the area went inches wide.
The Sky Blues continued to trouble the West Brom defence and Gyokeres twisted and turned inside of the area, and from a tight angle he forced Button into a smart save at his near post.
After scoring twice against Birmingham City, Ben Sheaf almost found his third goal of the season when he beat one, then another and then again forced Button into a save.
City were on top and enjoying the better of the ball and they carved out a chance down the left when Maatsen’s ball back across goal was met by Liam Kelly, but his shot went wide.
With seconds left on the clock, West Brom were awarded a dubious penalty and it was Karlan Grant who stepped up to take the spot-kick, but Ben Wilson made the save to earn City a point.
Referee: Stephen Martin
Attendance: 22,160 (1,959 Sky Blue supporters)
Yellows: Dara O’Shea, Kyle McFadzean
West Brom Xl: David Button (GK), Conor Townsend (90’ Robinson), Dara O’Shea, Matt Clarke, Semi Ajayi, Jayson Molumby (78’ Diangana), Adam Reach, Jake Livermore, Taylor Gardner-Hickman (71’ Phillips), Karlan Grant, Andy Carroll.
Unused Subs: Alex Palmer (GK), Kyle Bartley, Cedric Kipre, Caleb Taylor.
Sky Blues Xl: Ben Wilson (GK), Todd Kane, Dom Hyam, Kyle McFadzean (C), Michael Rose, Ian Maatsen, Ben Sheaf, Gustavo Hamer (78’ Kelly), Jamie Allen, Callum O’Hare (64’ Waghorn), Viktor Gyokeres.
Unused Subs: Simon Moore (GK), Jake Clarke-Salter, Jake Bidwell, Jordan Shipley, Josh Eccles.