Prime Minister Shinzo Abe announced in May that immigration-shy Japan, with a population of about 127 million, would accept up to 150 Syrian students over five years from 2017.
That number compares with vastly higher figures in other countries. Norway, with a population of about 5.1 million, has pledged to accept some 9,000 Syrians.
Abe separately pledged at a refugee summit hosted by US President Barack Obama in September that Japan was also prepared to "warmly welcome" family members of the students.
As advertised, the programme - entitled "Japanese Initiative for the future of Syrian Refugees" - has several requirements for potential applicants.
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Originally, they included the line: "Pregnant applicants are not recommended to apply," according to Amnesty and the government's Japan International Cooperation Agency (JICA), which manages the programme.
But after Amnesty and other groups expressed concerns, it was changed to read: "Before the application, pregnant applicants are advised to consider carefully potential risk of health and life issues of mother and foetus."
"When a pregnant woman comes to Japan and gives birth, she will have to rest for some time," JICA spokesman Satoshi Murakami told AFP, though stressing that the programme is not meant to exclude expectant women.
"Its focus is to educate people who will contribute to the country's reconstruction and be a bridge between Japan and Syria in the future.
"This is a context different from protecting refugees."
Amnesty International objects to that stance.
"The requirement is problematic because it narrows the window for female applicants," said Kaoru Yamaguchi, adding it discourages refugees from applying.
Last year it accepted 27 refugees, including three Syrians, after some 7,500 people from 69 countries sought such status in Japan, according to the justice ministry.