"One is to engage more actively with the countries of the region, to look at their ideas and their assessment of the situation and secondly to work together within the Quartet to put forward proposals and to put forward options for the consideration of the Security Council," Mladenov said.
The Middle East Quartet comprises Russia, the European Union, the United States and the United Nations. It was established in 2002, and has mediated the Israeli-Palestinian peace negotiations.
Palestine seeks to create an independent state on the territories, occupied by Israel since 1967.
Israel has been erecting its settlements on the occupied territories, to international criticism.
In 2014, the UN Security Council was unable to pass a resolution to create the Palestinian state, blocked by the United States. However, almost 70 percent of UN member states support the Palestinian statehood.
The Israeli-Palestinian conflict escalated again in July 2014 after Israel launched a military operation named Operation Protective Edge against Hamas forces in Gaza. On August 26, Israel and Palestinian armed groups agreed on a ceasefire following 50 days of military operations