WATCH: Trump says Iran's new leaders 'gave us a present' related to oil and Strait of Hormuz

President Donald Trump cryptically claimed Tuesday that he got a gift from Iran "worth a tremendous amount of money," telling reporters it revealed to him that "we're talking to the right people."

Watch Trump's remarks in the video player above.

Asked if he trusts the Iranians said to be in talks with U.S. representatives, Trump said he doesn't trust anybody but alluded to receiving a "gift."

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"They gave us a present, and the present arrived today," Trump said to reporters in the Oval Office. "I'm not going to tell you what that present is, but it was a very significant prize."

Pressed for more detail, Trump said it was "oil- and gas-related" but went no further. "It was a very nice thing they did. But what it showed me is that we're dealing with the right people."