[1] Melivillo's senior career started in 2009 with Platense in Primera B Nacional, with his debut coming on 28 November in a goalless draw at home to Aldosivi.
[1] After seventeen more appearances during 2009–10, which included his first goal in March 2010 vs. Unión Santa Fe, Melivillo was loaned out to Almirante Brown following Platense's relegation to Primera B Metropolitana.
[1][3] Defensa y Justicia of the Primera División became Melivillo's sixth professional club in August 2017, he joined on loan until the end of the 2017–18 season.
[8] After only three matches for Defensa y Justicia, he returned to Chacarita in December 2017 and was subsequently loaned out to Ecuadorian Serie A side Deportivo Cuenca.
[1] He scored two goals in twenty-one games for Central Córdoba, as well as one in three in the play-offs as they won promotion to the Primera División.