Having struggled with the bat first-up against a Cricket Australia XI, the tourists produced a dynamic bowling spell of 6-22 to knock their opponents over for 174 at Karen Rolton Oval.
The Windies are preparing for a two-Test series against Australia, with the first match to start next Wednesday at Adelaide Oval.
Their batting woes were back on full display in Thursday's afternoon session, with top-order talents Tagenarine Chanderpaul (zero) and Kirk McKenzie (nine) both falling in soft fashion in their second innings.
But makeshift opener Josh da Silva (55 not out) and No.5 Kavem Hodge (44no) steadied the ship and showed some attacking flair to take their side to 3-137 at stumps.
That's a lead of 214 runs as the contest heads into its final day.
Things looked bleak for the tourists as the CA XI cruised to 1-94 before West Indies sliced through their batting card with a spell of 6-22.
The tourists had declared overnight at 8-251 to allow their bowlers a first crack in Australian conditions.
Uncapped speedster Shamar Joseph was on-song with crafty swing bowling and vicious short balls helping him to 2-28, a gorgeous in-swinger that smashed the top of Teague Wyllie's off-stump the best delivery of the day.
Joseph, one of seven uncapped players in the Windies squad, has surely bowled his way into the Test side.
Lead quick Kemar Roach improved in his second spell of the day to finish with 2-23 from his nine overs, while fellow paceman Alzarri Joseph took 2-40.
The tourists initially struggled to contain CA XI opener Tim Ward (50) who struck seven boundaries on his way to a half-century.
Chanderpaul, who made 17 in his side's first dig, pushed a loose Liam Haskett delivery he didn't need to play straight to gully to fall for his second-innings duck.
McKenzie's dismissal was just as avoidable, softly chipping Haskett straight to mid-wicket.
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