During World War II, Stanisław Zdzisław Kozłowski, co-founder of the club, was among Poles murdered by the Russians in the large Katyn massacre in April–May 1940.

The first runner-up title made them eligible to play in the UEFA Cup, in which they eliminated Hertha BSC and Manchester City (with three goals in four games) before falling to Girondins Bordeaux.

[1] In the following seasons, a team called Nasza Dyskobolia Grodzisk Wielkopolski started to play at the lower levels, referring to the club's tradition.

Dyskobolia, although no longer attracted as many fans as in the second division and Ekstraklasa years, possessed a small but loyal group of active supporters called Szczuny z Landu.

The latter were widely considered to be their greatest rivals, a rivalry which has been renewed since the Amica's phoenix-predecessor club Błękitni Wronki has been re-established in 2007, the two frequently playing in the same division.