Spend your second day exploring the charming Old Town of Bari, known as Bari Vecchia. Wander through the narrow streets and discover the Basilica di San Nicola, an important pilgrimage site that houses the relics of Saint Nicholas. Visit the Castello Svevo, a medieval fortress that offers panoramic views of the city. Don't forget to try some traditional street food, such as orecchiette pasta and focaccia, from the local vendors.