On one occasion, Leonymus, while leading the people of Croton against the Italian Locrians, attacked the spot where he was informed that Ajax Oïleus, on whom the people of Locris had called for help, was posted in the van. According to Conon, who, by the way, calls the hero Autoleon, when the people of Croton went to war, they also left a vacant space for Ajax in the forefront of their line.
On his return he described what he had seen how that Achilles was now married to Helen; and it was Leonymus who told Stesichorus that his blindness was due to Helen's wrath, and thus induced him to write the Palinode. Achilles himself is once said to have appeared to a trader who frequently visited the island.
However this may be, Leonymus was wounded in the breast, and as the wound refused to heal and weakened him considerably, he applied to Delphi for advice. The god told him to sail to the White Isle, where Ajax would heal him of his wound. Thither, therefore, he went, and was duly healed.