A composition for a non-aqueous secondary battery functional layer comprising a particulate polymer and a binder, wherein
- the particulate polymer has a core-shell structure including a core portion and a shell portion at least partially covering an outer surface of the core portion,
- the core portion is formed by a polymer A,
- the shell portion is formed by a polymer B including not less than 1 mass % and not more than 20 mass % of a cyano group-containing monomer unit,
- the polymer B satisfies at least one of the following (1) and (2):
- (1) the polymer B includes not less than 1 mass % and not more than 3 mass % of a hydrophilic group-containing monomer unit, and
- (2) the polymer B includes a (meth)acrylamide monomer unit,
- not less than 1 part by mass and not more than 30 parts by mass of the binder is contained per 100 parts by mass of the particulate polymer, and
- the glass-transition temperature of the binder is 2° C. or higher.