The benchmark KOSPI is displayed at a dealing room of Hana Bank in Seoul, Tuesday. Yonhap

Korean shares turned higher late Tuesday morning as foreign investors scooped up big-cap tech shares on bargain hunting.

After opening 0.95 percent lower, the benchmark Korea Composite Stock Price Index (KOSPI) added 33.37 points, or 0.53 percent, at 6,333.03 as of as of 11:20 a.m.

Foreign investors bought up a net 1.29 trillion won ($911.2 million) worth of shares, offsetting a combined 1.13 trillion-won selling spree by retail and institutional investors.

On Monday (local time), the U.S. stock market edged down from its all-time high the previous session as oil prices rose on uncertainty about when the Strait of Hormuz could reopen to shipping.