His performances earned the 21-year-old Curcio a move to Roma of Serie A. Head coach Nils Liedholm gave him his debut as a second-half substitute on the opening day of the 1974–75 season in a 1–0 defeat away to Torino; his introduction livened up the attack, but made no difference to the score. He made two more appearances in 1974 and, after some muscle problems, made an unexpected return to the first team for the visit to Vicenza on 5 January 1975. Demonstrating pace, trickery and clean shooting, he scored both goals in a 2–0 win that extended Roma's winning run to five and earned him a run in the side. He finished the season with 15 appearances from a possible 30, but no more goals. Because of industrial action, the regular football highlights were not broadcast for the weekend of Curcio's goals against Vicenza. However, film still existed in the archives, and in 2011, Curcio was a guest on Rai 2's when his goals were aired for the first time.