JERUSALEM (Reuters) - A US presidential envoy ended a Middle East shuttle mission on Sunday with no sign of any imminent resumption of Israeli-Palestinian peace talks. The envoy, George Mitchell, met Israeli Prime Minister Benjamin Netanyahu for a second time after talks on Friday and a visit to Cairo, where the former US senator held discussions with Egypts intelligence chief and its foreign minister. A statement issued by Netanyahus office after his latest meeting with Mitchell said two Israeli negotiators would make another trip to Washington in the coming week to continue talks on moving peace efforts forward. US President Barack Obama has said Secretary of State Hillary Clinton would report to him by mid-October on Mitchells attempts to revive Israeli-Palestinian peace talks suspended since December. Palestinian President Mahmoud Abbas has demanded that Israel abide by a 2003 peace road map and freeze settlement activity on occupied land where Palestinians hope to build a state. Abbas and Mitchell held talks in the occupied West Bank on Friday. It has been and remains an important objective of American policy and of President Obama and the secretary of state personally to achieve comprehensive peace in the Middle East, Mitchell told reporters in Cairo, before travelling to Jerusalem for his second meeting with Netanyahu. We understand that there are many difficulties, that there are many obstacles. But we are determined and committed to continue our efforts until that objective is reached, he said. Resisting US pressure, Netanyahu has pledged to continue some construction in settlements in the West Bank and for Jews in Arab East Jerusalem, areas captured in a 1967 war, saying he must meet the needs of growing settler families. Obama, who had demanded a freeze, asked Israel only for restraint on settlement when he met Netanyahu and Abbas in New York last month for talks that did not amount to a formal resumption of peace negotiations. Israel and the Palestinians also differ over where to pick up negotiations conducted over the course of a year between Abbas and Israels previous prime minister, Ehud Olmert, after a peace conference in Annapolis, Maryland, in November 2007. Netanyahu has said he is not bound by any territorial proposals his centrist predecessor made in those talks. Netanyahus right-leaning coalition government includes some nationalists for whom the very idea of Palestinian independence in the West Bank, territory which Israel captured from Jordan in a 1967 war, is anathema. Abbas has credibility problems, as his armed Hamas rivals control the Gaza Strip and rule out any permanent peace accord with the Jewish state. Since his appointment in January, Mitchell, 76, has visited Israel and the West Bank nine times. The missions have been stymied by Netanyahus refusal to halt construction in settlements and by Arab states reluctance to make peace overtures.