MENA said the Israeli-Palestinian conflict was one of the issues to be discussed.
Moussa was in consultations on an appropriate date but would call for the meeting to be held "in the coming period", the agency said.
Moussa said Palestinian President Mahmoud Abbas would present the Palestinian view following the latest meeting of the Quartet of Middle East peace mediators in Sharm el-Sheikh earlier this week, MENA reported.
Arab League officials were not immediately available for comment.
The Quartet of the European Union, Russia, the United Nations and the United States sought on Sunday to keep Israeli-Palestinian peace talks alive, although political uncertainty in Israel has scotched hopes for a deal this year.
The Quartet strongly backed the talks launched at Annapolis, Maryland nearly a year ago by U.S. President George W. Bush.
The talks have been hobbled from the start by violence and bitter disputes over Jewish settlement building and the future of Jerusalem. The process could fall apart amid political transitions in Israel and the United States.
MENA said the proposed Arab League meeting was not linked to efforts to bring about Palestinian internal reconciliation. "This dialogue remains Egypt’s responsibility," MENA quoted Moussa as saying.
Egypt on Saturday delayed Palestinian reconciliation talks it had planned to host after Islamist Hamas said it planned to boycott the meeting because security forces loyal to Abbas had not freed over 400 Hamas men jailed in the West bank.
A senior Fatah official later said Egypt could host the talks after two weeks
