On Tuesday, the 2,200-dwt general cargo Baris (built 1987) sent a distress signal as its engine broke down.
Four vessels came into assistance and a Greek navy ship started towing Baris towards the port of Ierapetra.
According to Greek authorities, 584 people – including 100 children - have been safely disembarked so far.
A helicopter was deployed to collect a 34-year-old pregnant woman aboard the vessel.
Greek