The Baggies have splashed the cash already this summer having snapped up James Chester, James McClean and Rickie Lambert, with Tony Pulis keen to avoid a relegation battle this term.
Even after landing Liverpool forward Lambert, Pulis continues to be linked with attacking reinforcements - and reports in the Italian press suggest that Roma's Doumbia is now a target.
Sky Italia's Gianluca Di Marzio reports that West Brom have submitted a request to Roma over a deal for Doumbia, who could be pushed down the pecking order with Rudi Garcia's men after they agreed a fee for Manchester City's Edin Dzeko, as reported by BBC Sport.
The Ivorian international, 27, has proven his goalscoring prowess during spells with Kashiwa Reysol, Tokushima Vortis, Young Boys and CSKA Moscow, hitting 154 goals in 255 games before his move to Roma.
His time in Italy hasn't been quite so successful, but having been prolific elsewhere, Doumbia could be a real coup for the Baggies if they can land him.
With blistering pace, Doumbia could be a huge threat for West Brom, but his potential arrival may cause fans to worry that in-demand forward Saido Berahino will leave The Hawthorns.
Ultimately though, with Brown Ideye struggling last season, Pulis may simply be looking for further attacking options - and Doumbia could be an ambitious solution for the West Brom boss.