DAMASCUS, Syria (AP) -- Former President Carter defied U.S. and Israeli warnings and met Friday with the exiled leader of Hamas and his deputy, two men the U.S. government has labeled terrorists and Israel accuses of masterminding attacks that have killed hundreds of civilians.
Carter is the most prominent American to hold talks with Khaled Mashaal, whose Palestinian militant group claimed new legitimacy from the meeting along with two other sessions the Nobel laureate held with Hamas leaders in the Middle East this week.
"Political isolation (of Hamas) by the American administration has begun to crumble," Mohammed Nazzal, a top figure in Hamas' political bureau, told The Associated Press after Friday's meeting at Mashaal's Damascus office.
A senior Hamas official in Damascus, speaking on condition of anonymity because he was not authorized to represent the group publicly, described the meeting as "warm."
But he said Carter did not receive a response to either of the two requests the former president made in the session: that Hamas halt its rocket attacks against Israel and that it agree to a meeting with Israeli Deputy Prime Minister Eli Yishai to discuss a prisoner exchange.
Nazzal said that Gaza-based Hamas leaders would travel to Syria on Saturday to confer with Mashaal and that Carter "will be informed of Hamas' response in the coming days."
Underscoring the impression that Carter did not win any concessions, Hamas said Friday that captured Israeli soldier Gilad Shalit will "not see the light" until Palestinian prisoners are also released in an exchange.
Carter's convoy arrived at Mashaal's office for the meeting under tight security, and reporters were prevented from getting near the site. The meeting was closed to media, and Carter was not available for comment.
But Carter, who brokered the 1978 Israeli-Egyptian peace and was awarded the Nobel Peace Prize in 2002, has defended what he calls his personal peace mission. He says Hamas, which controls the Gaza Strip, must be engaged in order to achieve peace between Israel and the Palestinians.
The controversy over his visit highlights two different approaches to foreign policy. Some, like Carter, believe that is impossible to resolve a conflict without engaging all parties, even those responsible for attacks on civilians. Others, including the Bush administration, contend that such meetings give credibility to hard-line militants and allow them to play for time when they are not serious about peace.
Echoing criticism from Secretary of State Condoleezza Rice before the trip, State Department spokesman Sean McCormack suggested Friday that Carter had opened himself up to "exploitation" by both Hamas and the Syrian government.
"We find it very odd that one would encourage to have a conversation between the Israeli government and Hamas, which doesn't even recognize the right of the Israeli government to exist," McCormack said. "Is that really the basis of a conversation?"
Several members of Congress also urged Carter not to meet Hamas leaders, saying it would confer legitimacy on the group behind dozens of suicide bombings and other attacks that have killed some 250 Israelis.
"We have a policy in this country about Hamas. And he is just deliberately undermining that policy, and it's wrong," Rep. Sue Myrick, R-N.C., told Fox News on Friday, calling for the State Department to revoke the former president's passport.
Friday's meeting, which followed a session between Carter and Syrian President Bashar Assad, was the first public contact between a prominent American figure and Hamas officials since the Rev. Jesse Jackson met with Mashaal in Syria in 2006.
The U.S. government has no contact with Hamas after designating it a terrorist organization in 1995 - an official label that means any financial or business transactions with the group are illegal. The government has also blacklisted Mashaal and his deputy, Moussa Abu Marzouk, making it illegal to conduct any transactions with them.
Marzouk, who attended Friday's meeting with Carter, has been accused of organizing a network of Islamic charities to funnel money to Hamas. He spent two years in prison in a New York jail after his name appeared on a list of people suspected of terrorist activity. He was deported in 1997.
Although long shunned by diplomats, Hamas thrust itself onto the international stage by winning the 2006 Palestinian parliament elections. It has since been locked in a power struggle with the Fatah faction headed by President Mahmoud Abbas. Hamas forcibly seized control of Gaza from Fatah in June and set up a regime that rivals Abbas' West Bank government.
An internationally backed Israeli boycott of Hamas - partly an attempt to bolster Abbas' faction - has put a stranglehold on Gaza, deepening the poverty of its 1.4 million residents.
Daniel Kurtzer, a former U.S. ambassador to Israel under President Bush, called Carter's meetings with Hamas officials "a strategic and tactical mistake."
"Palestinians believe they cannot implement a peace agreement without Hamas, but they also understand that they can't reach such an agreement with Hamas in power," Kurtzer said.
Martin Indyk, a U.S. ambassador to Israel under President Clinton, said "the problem with trying to bring Hamas into the negotiations is it will force Israel out."
Israel brands Hamas a terrorist organization and has accused Mashaal of masterminding the kidnapping of Shalit near Gaza two years ago. Israel has also blamed Mashaal and the group's Damascus-based leadership of directing suicide bombings such as the September 2004 attacks that killed 16 Israelis in the southern city of Beersheba.
Israel tried to kill Mashaal in 1997, when agents sprayed him with poison on a street in Amman. Jordan's late King Hussein, who had signed peace with Israel in 1994, forced Israel to send the antidote that saved his life.
Afterward, Jordan expelled Mashaal to Qatar as the kingdom's ties with Hamas deteriorated, and he moved to Damascus in 1999.
Yishai, the deputy prime minister, was the only Israeli minister to meet Carter when he visited Israel and the Palestinians territories earlier this week. Israeli Prime Minister Ehud Olmert said he did not meet Carter during his visit to avoid creating the impression that he was negotiating with Hamas.
Carter met senior Hamas officials from Gaza in Cairo on Thursday and asked them to halt rocket attacks against Israel. And in the West Bank on Wednesday, he embraced a Hamas representative, angering Israelis.
Though Israel's government refuses to deal with Hamas, Carter said Thursday he knows some Israeli government officials are "quite willing" to meet the militant group.
Yishai said Friday he asked Carter this week to arrange a meeting with Hamas to discuss a prisoner exchange. He said he wanted to try to win the release of Shalit.
Hamas official Mushir Masri, in a fiery speech Friday to thousands of Hamas supporters in Gaza, said the meetings with Carter were proof that Hamas was not a terrorist group but a national liberation movement.
Associated Press writers Diaa Hadid in Gaza, Lily Hindy in New York and Albert Aji in Damascus contributed to this report.