Trump did not provide details about the offer he said Iran had made but described it as related to oil, gas and the Strait of Hormuz.
Speaking to reporters in the Oval Office, Trump said Vice President JD Vance and Secretary of State Marco Rubio were among the officials leading the talks and were "dealing with the right people" in Iran.
Tehran has not publicly acknowledged any such proposal. Iranian officials, however, have been quoted by various outlets as saying that they have received proposals conveyed through intermediaries and are reviewing them.
Trump suggested that Tehran was eager to reach an agreement after weeks of fighting with the United States and Israel.
“And the other side, I can tell you they’d like to make a deal, and who wouldn’t?” Trump said. “If you were there, look, their navy’s gone, their air force is gone, their communications are done — that’s the biggest problem.”
The president’s remarks marked a shift in tone from comments he made at the White House last week, when he said he did not want a cease-fire.