Finley was claimed off waivers by St. Louis from Tampa Bay on Saturday, per Chris Johnston of The Athletic.
Finley had two goals, three points, 21 PIM and 37 hits in 22 outings with Tampa Bay in 2025-26. The 23-year-old will be an option for a spot on the Blues' fourth line, but there's no guarantee that he'll be in the lineup when St. Louis' schedule resumes Feb. 26 versus Seattle.