Trump told Axios he expected talks to resume a day after rejecting Iran's proposal to reopen the Strait of Hormuz, but Tehran denies any negotiation plans.
Iran's First Vice President Mohammad-Reza Aref said the United States is relying on intermediaries to conduct negotiations with the Islamic Republic.
US envoy to the UN Mike Waltz said Washington believes time is on its side, according to Anadolu Agency.
The U.S. Secretary of State said Washington remains open to talking with almost anyone in the world about conflicts, crises or disagreements.
The Syrian president said negotiations had progressed significantly before stalling, according to Anadolu Agency.
Major General Mohsen Rezaei, secretary of Iran's Supreme National Security Council, said in a message that Tehran has laid out seven conditions to Washington for resuming negotiations, according to Iranian state media.
A report from IRNA (Iran) sets out the main available details, with claims kept attributed to their sources.
Spokesman Dmitry Peskov said Russia remains open to talks while continuing its military campaign, according to Anadolu Agency.
Trilateral negotiations could resume in October 2026, a Kremlin spokesman said, according to RFI, citing Russian agencies.