The situation I had in mind was that in Spring, 1901 Italy orders army, Venice to Albania. The Austrian Fleet Trieste does a convoy, since the fleet in the Trieste coastal region is adjacent to both the other two coastal regions. (This would be a Lepanto opening.)
Another player argues that this is not possible. His reasoning is "the convoy is only possible if the fleet vacates Trieste and moves into Adriatic Sea."
According to Diplomacy Wiki, "A fleet can convoy an army that is adjacent to it into another land space that is adjacent to the fleet."
Who is right?