Nicknamed Tarzan for the way of throwing himself for the ball, he started his professional career with Ferrocarril Oeste in 1955, where he played until 1959. He was then transferred, together with teammate Silvio Marzolini, to Boca Juniors, where he debuted in the victory of 3 April 1960 against Estudiantes de La Plata.
Roma stayed with Boca until his retirement in 1972, becoming one of the biggest idols of the club, with total of 323 matches in all competitions. With the club Roma won the Argentine League of 1962, 1964, 1965, and the Campeonato Nacional 1969 and 1970. In 1969, he kept his goal clear for 783 minutes.
Probably the most remembered save by Antonio Roma was the penalty executed by River Plate's Brazilian player Delém, that he sent to the corner. With only two rounds before the end of the 1962 championship, Boca and its all-time derby River Plate shared the first position at the local league. The decisive match was played at La Bombonera, Boca Juniors home stadium. Boca was ahead 1–0 when referee Nai Foino awarded a penalty to River. After the save, the public invaded the field delaying the continuation of the match for 11 minutes. River was not able to change the score, and Boca finally won that championship after defeating Estudiantes de La Plata in the next round.
