Brent crude falls 2% to $96.38 a barrel on Monday morning, according to the CBS News live blog.
The figure appears in an entry updated at 6:39am EST (11:39 GMT). CBS does not say exactly when the price was recorded.
The price is lower than the $98.35 a barrel Brent had reached by 04:24 GMT, as reported earlier by Investing.com. On these figures, the small rise seen in the early hours of Monday did not hold.
CBS News says the fall continues a downward trend seen for more than a week, and that markets appeared to be pricing in diplomacy. That description matches the earlier reporting, which put Brent's fall last week at more than 16%.
The early losses came after Trump told CNN it was "highly unlikely" he would need to order more attacks on Iran, provided negotiations progress.