Brent crude futures were down $0.54, or 0.6%, at $87.82 by 0046 GMT. U.S. West Texas Intermediate crude was at $81.95 a barrel, down $0.66, or 0.8%.
Both contracts fell 1% earlier in the session to their lowest level in more than a week.
U.S. President Donald Trump said on Monday the United States was having "good talks" with Iran and that there was a chance of a resolution. However, he said U.S. strikes would resume if negotiations failed while Iran issued similar comments about retaliation.
"For now, the relief that an off-ramp has been found has taken the heat out of prices and eased concerns around Houthi attacks on Saudi infrastructure. However, the situation remains highly fluid," IG analyst Tony Sycamore said in a client note.
Barclays analysts said in a note on Monday "flows through the strait remain subdued". They said, in the week ended July 24, crude oil and refined product net exports through the strait averaged 2.9 million barrels a day compared with 5.9 million in the previous week.
Elsewhere, U.S. crude oil stockpiles likely fell last week alongside gasoline, while distillate stocks likely rose, a preliminary Reuters poll showed on Monday.
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