Mexican officials pleaded that the women and children be let out of the city.
Mexican officials said he remained a focus of their investigation.
A top Mexican official called such an offer unacceptable at the end of last week.
Mexican officials said a third ship that had been part of the group was still at sea.
Mexican officials, he said, acknowledged the problem but did little.
Mexican officials said the men were economic, not political, refugees.
Mexican officials estimate that no less than $4 billion left the country over the last month.
Mexican officials did not immediately return calls about the arrest.
Mexican officials, who have similar hopes, say they would support those levels.
The Mexican officials have urged more study of the issue.