Jordan's King Abdullah II arrived in Cairo on Sunday, his first official visit to Egypt after President Abdel-Fattah El-Sisi took office in June.
El-Sisi and Abdullah II are supposed to discuss means to tighten bilateral relations between Jordan and Egypt in addition to the Palestinian-Israeli crisis.
Jordan, an Arab member of the UN Security Council, will formally present a draft resolution in the next few days that will set a timeframe for the creation of a Palestinian state.
Earlier in November, El-Sisi joined a conference call with Abdullah II, Israel's Prime Minister Benjamin Netanyahu and US Secretary of State John Kerry to discuss the latest developments in the Israeli-Palestinian peace process.
The two officials also met in the US recently for the UN General Assembly's 69th session.
Jordan has backed Egypt's new government since the military deposed Islamist president Mohamed Morsi in July 2013, after mass protests against his rule. However, Jordan's main opposition party, the Muslim Brotherhood, from which Morsi hails, sees the ouster as a coup.