Provided is a composition for a non-aqueous secondary battery functional layer capable of forming a functional layer for a non-aqueous secondary battery that can provide a battery component with high blocking resistance and cause excellent adhesiveness to be displayed before and after immersion in electrolysis solution. The composition contains a particulate polymer having a core-shell structure including a core portion and a shell portion partially covering an outer surface thereof. The core portion is formed by a polymer having a glass transition temperature of −50° C. to 60° C. and a degree of swelling in electrolysis solution of at least a factor of 5 and no greater than a factor of 30. The shell portion is formed by a polymer having a glass transition temperature of 50° C. to 200° C. and a degree of swelling in electrolysis solution of greater than a factor of 1 and no greater than a factor of 4.