A small building was excavated in the center of the ancient city of Corinth between 1977 and 1979. The discovery quickly generated a remarkable attention given the scarcity of vestiges of the 5th century BC urban plan, but also (and above all) because of the abundance in those contexts of western Punic amphorae linked to the importation of salted fish from the periphery of the Mediterranean world. The publication of the preliminary reports and some specific works aroused great expectations, given that it was a “closed context” that supported the information transmitted by various Greek literary sources and that the remains of fish were in an exceptional state of conservation. However, the final excavation report was never published and most of the data has remained unpublished. In any case, the Punic Amphora Building has been regularly used along the last decades as a key reference in the scientific literature devoted to the study of fishing and maritime trade in Antiquity, at the same time that the investigations on the western Punic amphora workshops or fish-processing sites took a step forward. This paper summarizes the first results and main lines of action of the Spanish-American project that since 2014 works on the remains of this Corinthian building, as well as some reflections on the connections between the classical Greek World and the Punic communities of the Strait of Gibraltar area.