JERUSALEM, July 28 — For seven weeks now, up to 6,000 Palestinians trying to return to their homes in the Gaza Strip have been stranded in Egypt, objects of a political struggle between the Palestinian factions of Hamas and Fatah involving Israel and Egypt.

But there finally appears to be a deal, opposed by Hamas, to let them return, beginning with about 100 on Sunday, with more to follow during the week, Palestinian, Egyptian and Israeli officials said Saturday.

The Palestinians, some of whom had gone to Egypt or elsewhere for medical care or schooling, have been stuck in Rafah, an Egyptian border town, or nearby El Arish because the border crossing between Egypt and Gaza has been shut since June 9. Several hundred, with little money, have been living in harsher conditions in the desert, cared for by various international aid agencies.

The Rafah border crossing, like the separate Karni crossing for goods between Israel and Gaza, was closed because of the fighting in June between Fatah and Hamas. After the Hamas rout of Fatah and takeover of Gaza, those main crossings for people, in Rafah’s case, and goods, in Karni’s, have been kept shut by Egypt and Israel to isolate Hamas. The closure has had the quiet support of the Palestinian president, Mahmoud Abbas of Fatah, who fired the Hamas government and installed a new one in the West Bank led by an independent economist, Salam Fayyad, whose authority Hamas refuses to recognize.

Hamas has insisted that Egypt and Israel abide by a crossings agreement negotiated by the Bush administration and reopen Rafah and Karni. Hamas has said that it will not allow Kerem Shalom — a border crossing into Gaza on Israeli territory but where Gaza, Egypt and Israel meet — to be used for people, because Israel will control who may enter or exit from Gaza. That is how Israel wants it, because Hamas officials have been able to bring in millions of dollars with them unchecked through the Rafah crossing, even though it was monitored by European Union officials and by Israelis on a video link.

The plight of the stranded Palestinians may be resolved, but not the larger issue. According to Riad Maliki, speaking Saturday for the Fayyad government in Ramallah, Israel will approve the names of those entering Gaza on lists prepared by the Palestinians. Those stranded will cross from Egypt into Israel at the Al Oja cargo crossing south of Rafah, Egyptian officials said Saturday, then be bused to the Erez crossing with Gaza controlled by Israel.

About 100 on a list of 627 people approved by Israel will cross Sunday and the remainder on Monday, the Egyptians said, with more to follow.

Ashraf al-Ajrami, minister for prisoners affairs in Ramallah, said Saturday, “Due to the absence of Palestinian security forces at Rafah crossing, and amid Egyptian, Israeli and European refusals to reopen the crossing, we agreed with the Israelis to let the people cross at an Israeli crossing.”

Hamas denounced the deal, because it bypasses Rafah. A Hamas spokesman in Gaza, Sami Abu Zuhri, said: “There is only the Rafah border crossing. The use of any other border crossing increases Israeli control over the Gaza Strip.” Hamas has fired mortar shells on Kerem Shalom to try to prevent its use, and may try to do the same toward Erez.

In an indication of Fatah’s lack of interest in opening Gaza for ordinary passage of goods and people, thereby easing pressure on Hamas, Palestinian Authority representatives at the United Nations have been working to block a Security Council presidential statement criticizing the “humanitarian situation” in Gaza and calling for the Gaza crossings to be opened immediately, according to the Israeli daily newspaper Haaretz. Qatar, which is considered close to Hamas, drafted the statement, which is nonbinding but requires consensus among the Council’s members.

Gazans have been unable to export a single item since Karni was shut July 12, though Israel has allowed vital imports. Israeli officials insist that they only have security concerns about Karni, but also say they will not deal with Hamas. A Foreign Ministry spokesman, Mark Regev, said that Israel was open to “creative solutions,” including the use of a private Turkish company to operate the Gazan side of Karni. But Israel and Mr. Abbas insist that Hamas must have no control over the crossing at all, which Hamas rejects.

Later on Saturday, Israel killed two Palestinian gunmen from Al Aksa Martyrs Brigades of Fatah as they tried to plant explosives and fire mortars near the Israel-Gaza border. Abu Thaer, a Gaza spokesman for the brigades, confirmed the attempted attack, saying it was a response to efforts by Fatah and Mr. Fayyad to drop the principle of “armed resistance” against Israel.