The Dow Jones industrial average rose 0.5 percent, the broad S&P 500 index rose 0.1 percent, while the tech-heavy Nasdaq composite index hovered around zero.
Internet giant Alphabet, which owns Google and other businesses, lost nearly 4 percent after announcing it would raise the equivalent of approximately SEK 745 billion for a major investment in AI.
Earlier on Tuesday, sources in Iranian media reported that Tehran had not yet responded to the US's latest proposal for an agreement between the two countries.
The oil price has moved up again since lunchtime. At 10 p.m., a barrel of North Sea oil cost around $96.
