Alicia Paneque was spotted by an Italian film producer visiting Cuba. She accepted the proposal and moved to Italy. Her first release was Primo Zeglio's The Seven Revenges (1961). Cortez played niece to Orson Welles's character and formed "an attractive pair of young lovers" with Luciano Marin in the international film The Tartars (1961). The same year, she was paired opposite Gordon Mitchell in the Seven Arts production The Giant of Metropolis (1961), directed by Umberto Scarpelli. They appeared together in two more films; Vulcan Son of Jupiter (1962) and Ali Baba and the Seven Saracens (1964). Cortez's characters were that of and Greco-Roman mythological Aetna an Arabian princess, respectively in these films. She continued her starring roles with Antonio Leonviola-directed epic drama Taur, The Mighty (1963). Cortez played the female lead in Ali Baba and the Sacred Crown, directed by Erminio Salvi. The book Italian Sword and Sandal Films, 1908-1990 noted that Cortez was a "major asset to the production". She made appearance in a supporting character in Gothic horror Katarsis (1963).