Italy and Uruguay each won their bouts against Greece; the two victorious teams advanced without playing each other.

Cuba withdrew before competition, resulting in Argentina and Finland advancing without any matches played.

Hungary and the United States each won their bouts against Switzerland; the two victorious teams advanced without playing each other.

Belgium then beat Denmark, 9–3, to eliminate the Danes and secure advancement for the Belgians and British.

Hungary and Egypt each won their bouts against Uruguay; the two victorious teams advanced without playing each other.

In the second round of matches, the same teams won—this time, Italy over Hungary 9–2 while Argentina withdrew after the first bout went to Belgium.

They swapped opponents in the second set of bouts and each won again (France 9–5 over Belgium and Italy 9–2 over the United States).