Jerusalem (CNN) -- Palestinian negotiators put forward proposals on security and borders during talks with Israeli representatives in Jordan, Palestinian media reported Tuesday. Israel's special envoy, attorney Yitzhak Molcho, and chief Palestinian negotiator Saeb Erakat met in Amman with representatives of the Middle East Quartet -- made up of the United States, the European Union, the United Nations and Russia -- in an effort to relaunch negotiations after more than a year of deadlock. Jordanian Foreign Minister Nasser Judeh told reporters that "serious and constructive talks" had taken place, the official Palestinian Authority news agency WAFA said. He said the talks focused on the two-state solution, according to the Jordanian state news agency Petra.
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NEW: Hamas spokesman calls the meeting "a mockery"
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Negotiators from both sides meet with representatives from the Middle East Quartet
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The talks fell apart more than a year ago over Israeli settlements in the West Bank
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Jordan is hosting the meeting in an effort to relaunch stalled peace talks
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