President Muhammadu Buhari will receive the girls on Sunday in the capital Abuja, it said, without saying how many Boko Haram suspects had been exchanged or disclosing other details.
Eighty-two schoolgirls abducted by the Boko Haram terrorist group were released in exchange for the freedom of some Boko Haram suspects on Saturday.
"On behalf of all Nigerians, I will like to share my joy with you", he told the girls, who were seen clapping, according to an official picture of the meeting.
According to Mogherini, all must be done to ensure that those responsible of their ordeal are brought to justice.
Meanwhile, the Bring Back Our Girls Group (BBOG) has applauded the government and security agencies on the release of the 82 Chibok girls.
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The EU also continues to be fully committed to supporting humanitarian, development and reconstruction work in Nigeria, Mogherini said.
The ICRC, which along with the Swiss government has mediated months of negotiations between Nigeria's government and Boko Haram, tweeted what might be the first public image of the freed schoolgirls on Sunday. Others did not want to come home because they'd been radicalized by their captors, the girls said. "We hope the remaining girls will soon be released".
The girls were driven through Abuja to the hospital in a military convoy.
The girls were among a group of 270 schoolgirls kidnapped in April 2014 by the militant group Boko Haram, which has waged an eight-year-old insurgency to create an Islamist caliphate, killing thousands and forcing more than two million from their homes.
But the groundswell eventually waned and the Associated Press reports, numerous girls were forced into marriages with their captors and others were feared to have been forced into suicide bombing missions.
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The girls are among more than 200 the Islamic militant sect abducted at the Chibok government school in the Borno State at the height of the militancy. Now parents will know if they should make the journey to see their daughters.
Another source also said one of the conditions given by leaders of the Boko Haram, was that they will not compel any of the girls to return.
A group of 21 Chibok girls was freed in October, and they have been in government care in Abuja for medical attention, trauma counseling and rehabilitation.
Boko Haram remains active in that area.
Last month, he said in a radio interview that there were ongoing negotiations involving "some foreign entities" to release the 195 girls believed still held.
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