Here's the incipit of (what I think is a somewhat suspect claim) in the Madera Journal:

The tomb of Odysseus has been found, and the location of his legendary capital city of Ithaca discovered here on this large island across a one-mile channel from the bone-dry islet that modern maps call Ithaca.

This could be the most important archeological discovery of the last 40 years, a find that may eventually equal the German archeologist Heinrich Schliemann’s 19th Century dig at Troy. But the quirky people and politics involved in this achievement have delayed by several years the process of reporting the find to the world.

Yet visitors to Kefalonia, an octopus-shaped island off the west coast of Greece, can see the evidence for themselves at virtually no cost.

The discovery of what is almost certainly his tomb reveals that crafty Odysseus, known as Ulysses in many English renditions of Homer’s “Iliad” and “Odyssey,” was no mere myth, but a real person. Plus, passages in the “Odyssey” itself suggest that modern Ithaca and its main town of Vathi probably were not the city and island of which Homer wrote.

Rather, this small village of Poros on the southeast coast of Kefalonia now occupies part of a site that most likely was the much larger city which served as capital of the multi-island kingdom ruled by Odysseus and his father Laertes.

Archeologists have long and often times looked for evidence of Odysseus on modern Ithaca, but never found anything significant from the Bronze Age. This led many scholars to dismiss Homer’s version of Ionian island geography as strictly a literary creation.

But two pieces of fairly recent evidence suggest archeologists were looking in the wrong place. In 1991, a tomb of the type used to bury ancient Greek royalty was found near the hamlet of Tzannata in the hills outside Poros. It is the largest such tomb in northeastern Greece, with remains of at least 72 persons found in its stone niches.

One find there is particularly telling. In Book XIX of the “Odyssey,” the just-returned and still disguised Odysseus tells his wife (who may or may not realize who she’s talking to; Homer is deliberately ambivalent) that he encountered Odysseus many years earlier on the island of Crete. He describes in detail a gold brooch the king wore on that occasion.

A gold brooch meeting that precise description lies now in the archeological museum at Argostoli, the main city on Kefalonia, 30 miles across the island from Poros. Other gold jewelry and seals carved in precious stones excavated from the tomb offer further proof the grave outside Poros was used to bury kings.

... more. I find it interesting that the Museum of Argostoli doesn't appear to be promoting this 'discovery'. Of course, Kefallonia has long promoted itself (for tourism purposes) as the home of Odysseus ...