US President Trump said Monday that negotiations were ongoing despite Tehran's denials.

Stocks mostly rose Tuesday after last week's tech-led rollercoaster ride as investors tracked a record day on Wall Street, while oil prices edged up after their recent plunge with Donald Trump and Iran giving conflicting views on peace talks.

South Korea's Kospi ended an up-and-down day with gains as chip giants SK hynix and Samsung -- which have been the poster boys of a month-long AI-themed rout -- ticked higher.

The gains followed a positive day in New York, where the Dow ended at an all-time high, helped by another impressive Amazon surge that pushed it past the $3 trillion market capitalisation and helped ease fears about the vast capital spending on artificial intelligence.

Seoul finished up more than 1%, having last week fallen around 17% in three days before soaring nearly 18% Friday and falling again Monday.