He added: "We successfully completed a round of discussions that we hope will be constructive and promising," noting that the intermediaries would continue their efforts.
US President Donald Trump said on Tuesday that talks with Iran were ongoing, expressing his belief in the possibility of reaching a settlement, while Tehran confirmed that communications could take place through intermediaries during the General Assembly meetings.
Wetkoff's statements come after Iranian media reported that Tehran had proposed conditions for ending the war and reopening the Strait of Hormuz, including lifting the naval blockade, releasing frozen Iranian assets, and ending the war on all fronts.
The communications come as Washington and Tehran seek to explore opportunities for a settlement that would end the war, which has been ongoing for about 7 months, amid disagreements over the conditions for a ceasefire, the future of navigation in the Strait of Hormuz, and the Iranian nuclear file.
During his speech at the UN General Assembly, Trump called for tightening economic isolation of Iran, affirming that Washington would not allow Tehran to possess a nuclear weapon.