Star players such as foreigners Joe Allen, Bob Fleischer and Jim McDaniels, as well as Italians Claudio Malagoli and Ivan Bisson helped the side finish fifth and fourth in the Serie A in 1972 and 1973, the latter a historic best.

[1] In their first season back in the elite, Snaidero qualified to the playoff quarterfinals but lost a five-game series against Scavolini Pesaro.

That position was enough to play in Europe for the first time in 25 years,[1] reaching the round of 16 in the 2001–02 FIBA Saporta Cup.

[4] Having again lost in the playoff quarterfinals in 2001–02, Snaidero took part in the first-ever ULEB Cup in 2002-03, advancing to the eightfinals.

Snaidero went on to match its second-best ever ranking of fifth in the Serie A, thanks to a mix experience and youth with players such as Jerome Allen, Mian, Nikos Vetoulas, Kyle Hill, Silvio Gigena, Michele Antonutti, Jacob Jaacks and Christian Di Giuliomaria.