The 1995 Copa CONMEBOL Finals were the final match series to decide the winner of the 1995 Copa CONMEBOL, a continental cup competition organised by CONMEBOL. The final was contested by Argentine club Rosario Central and Brazilian Clube Atlético Mineiro.
Played under a two-legged tie system, Atlético Mineiro won the first leg held in Mineirão Stadium in Minas Gerais, while Rosario Central won the second leg at Estadio Gigante de Arroyito. As both matches had similar scores (4–0), a penalty shoot-out was carried out to decide a champion. Rosario Central won 4–3 on penalties, thus the club from Rosario achieved its first international title.
The performance of Rosario Central was highly praised by the Argentine media, which recognised how the team overcame to the big defeat in the first leg to force a penalty shoot out and finally to win the Cup. "Huge achievement" was the most used term for that victory, which is regarded by Rosario Central fans as one of their greatest achievements ever.