Here are a few suggestions for your next trip from Palermo

In 3 hours, you can reach Catania, Messina.

In 4 hours, you can reach Reggio Calabria.

In 5 hours, you can reach Siracusa.

In 8 hours, you can reach Salerno.

In 9 hours, you can reach Naples.

In 10+ hours, you can reach Rome, Milan, Turin, Genoa, Bologna, Florence, Verona, Padova, Taranto, Parma...