At international level, Barison earned 9 caps and scored 6 goals for the Italy national football team between 1958 and 1966. He made his international debut on 28 February 1959, in a 1–1 friendly home draw against Spain, and he later took part at the 1966 FIFA World Cup in England.
Barison's international experience with Italy took place between 1958 and 1966, during which he earned 9 caps and scored 6 goals. He first appeared on the field on February 28, 1959, in a friendly match against Spain at home, and later competed in the 1966 FIFA World Cup held in England.