When is the myth of Daedalus and Icarus?

Because Minos, Daedalus and Icarus are mythological people, no dates are ever given. However, Minos was the last King of Crete that was dominant over Mycenaean Era Athens, which means that Crete began to diminish in power during his rule. Historically, it was during the 15th century BC that the Minoan Civilization began to wane after a series of natural disasters, leading up to a Mycenaean Greek invasion around 1420BC. So it could be assumed that the story took place some time before that, but not long.