[2] Argüello returned to the Grand Prix tennis circuit in 1983 and made an immediate impression, winning the Venice Open, as a qualifier.

The 20-year-old defeated top seed Eliot Teltscher in the opening round and secured the tournament with a win over Jimmy Brown in the final.

[2] In 1985 he had his most consistent year on tour, reaching the quarter-finals of five tournaments, Buenos Aires, Nice, Bari, Palermo and Geneva.

He entered the main draw of six Grand Slams but only once made it past the first round, at the 1985 French Open, when he defeated Marty Davis in straight sets.

He had a win over Italian Francesco Cancellotti in 1983, to give Argentina a 5-0 clean-sweep of their World Group Quarter-final but lost to Raúl Viver of Ecuador in 1985.