The boat will return the women to shore today, Gomperts told ABC News. It will set out again with another group of patients Monday, weather permitting.
It is not the first time Women on Waves has been in the news. In previous years, the so-called "abortion boat" has traveled to waters off the coast of Ireland, Poland and Portugal, causing widespread protests in each case.
When the ship tried to dock in Portugal in 2004, the Portuguese government sent two warships to keep the yacht from entering the country's national waters.
"They felt we were a danger to them," Gomperts told ABC News of the Portuguese efforts to keep the boat from reaching the country's coasts. "But since then abortion has been legalized in Portugal. And that's a great achievement."
ABC News' Ben Barnier contributed to this story.