Former President Jimmy Carter said Monday that Hamas is prepared to accept the right of Israel to “live as a neighbor next door in peace.”

Carter said the group promised it wouldn’t undermine Palestinian President Mahmoud Abbas’ efforts to reach a peace deal with Israel, as long as the Palestinian people approved it in a referendum. In such a scenario, he said Hamas would not oppose a Palestinian state in the West Bank and Gaza.

Hamas, a militant Islamic group that both the U.S. and Israel consider a terrorist organization, calls in its charter for Israel’s destruction. It has also traditionally opposed peace negotiations with the Jewish state.

Sami Abu Zuhri, a Hamas spokesman, later said Carter’s comments “do not mean that Hamas is going to accept the result of the referendum.”

Carter’s comments came after his much criticized meetings with the top Hamas leaders in Syria in last week.

The Nobel laureate also urged Israel to engage in direct negotiations with the Islamic militant group, saying it was a “problem” that Israel and the U.S. refuse to meet with Hamas. Both governments consider it a terrorist organization.

“The problem is not that I met with Hamas in Syria,” he said. “The problem is that Israel and the United States refuse to meet with someone who must be involved.”

“There’s no doubt that both the Arab world and Hamas will accept Israel’s right to exist in peace within 1967 borders,” he said, referring to Israel’s frontiers before it captured large swaths of Arab lands in the 1967 Mideast war.

Over the weekend, Israeli Prime Minister Ehud Olmert said he decided not to meet with Carter in Israel because he does not wish to be seen as participating in any negotiations with Hamas.

In his comments Monday, Carter said Israeli-Palestinian peacemaking has “regressed” since a U.S.-hosted Mideast conference in Annapolis, Md., in November.

Israel has been negotiating directly with Abbas, who heads a moderate government based in the West Bank. Abbas lost control of the Gaza Strip last June, when Hamas violently seized control of that territory.

Carter said Hamas has promised to let a captured Israeli soldier send a letter to his parents, and said the militants “made clear to us that they would accept an interim cease-fire in the Gaza Strip.”

However, Carter said Hamas rejected his specific proposal for a monthlong unilateral cease-fire.