Ria Oling shot over early on for the Finns and Sallstrom's lofted shot was met by a fine clawing save by the retreating Cumings.
Eveliina Summanen was next to threaten the Scotland goal from a free-kick and once again the keeper got solid hands behind the effort.
The Scots were restricted to long-range efforts, captain Caroline Weir drilling one at keeper Anna Tamminen.
The half-time introductions of Chelsea Cornet and Kirsty Hanson briefly rejuvenated Scotland, but Finland soon countered the higher press.
Nea Lehtola had the visitors' best second-half effort, the left-back shooting powerfully at Cumings, before captain Sallstrom volleyed wide after meeting the ball at an awkward height.
Emma Watson and later Jamie-Lee Napier took over from Martha Thomas and Claire Emslie in the Scotland attack but got no change from the Finnish space-restricting strategy.
Hanson did have one run and shot in the closing stages, her effort taken comfortably by Tamminen as the 8,800-strong crowd went home without seeing a goal.