What the refugees fear is Tutsi retaliation for ethnic massacres committed by their fellow Hutu.
Rwanda, a poor country, emerged only in July from several months of ethnic massacres and years of civil war.
It said the country is far more in need of development assistance to rebuild a society and an economy ravaged by the ethnic massacres.
Between 200,000 and 500,000 people, mostly Tutsis, have died in the last two months of ethnic massacres.
The first ethnic massacre generated by the authorities in the history of Rwanda occurred in 1959.
Mostly they talked about the results of hatred in Europe at the moment - ethnic massacres, anti-Semitism, national boundary and blood feuds.
Riots, peasant uprisings and ethnic massacres swept the Russian Empire.
That was the case a year ago, when Rwanda's ethnic massacres and refugee crisis galvanized the world into action.
Most began arriving three months ago to escape a civil war and ethnic massacres in the east.
Nor can monitors alone offer any guarantee that Burundi will not succumb to ethnic massacres and large-scale displacement of peoples.