If all agreements are approved, the Rafah crossing will reopen this Thursday, and Hamas and Israel will declare a one-year truce brokered by Egypt.
According to the news network, a delegation on behalf of Hamas will arrive in Egypt on Monday in order to clarify the organization's response to the overall initiative, and particularly to the clauses referring to a truce.
The Palestinian sources said Hamas has agreed to have Palestinian Authority forces manage the crossing, as long as the Hamas government would be able to send inspectors there and the two sides would cooperate and coordinate their activities.
According to the report, Israel has agreed not to intervene in the Rafah crossing's operation.
Hamas was expected to demand that the opening of the crossing would not be linked to the release of kidnapped soldier Gilad Shalit. This issue is expected to be included in the understandings, but not as part of the official agreement.
Nabil Abu Rudeineh, the spokesman of the Palestinian presidency, said Saturday that Palestinian President Mahmoud Abbas would arrive in Cairo on Monday "in light of surprising developments in the talks with Hamas".
Ali Waked contributed to this report