In Greek mythology, Eurymedon was the name of several minor figures:
Eurymedon, king of the Gigantes, father of Periboea (mother of Nausithous by Poseidon)
Eurymedon, charioteer of Agamemnon
Eurymedon, servant of Nestor
Eurymedon, son of Dionysus and Ariadne, one of the Argonauts
Eurymedon, one of the four sons of Minos and Pareia
Eurymedon, one of the Cabiri (children of Hephaestus and Cabiro, a Thracian woman)
Eurymedon, additional name for Perseus
Eurymedon, possible father of Cinyras
Eurymedon, father of Andromache who was one of sacrificial victims of Minotaur