Brent futures LCOc1 climbed to their highest since mid-June, while S&P 500 e-mini futures EScv1 eased 0.2%.
MSCI's broadest index of Asia-Pacific shares outside Japan .MISX00000PUS was down 1.2%, led by declines for shares in Taipei .TWII and Seoul .KS11.
Despite the ongoing bear market in South Korea — at one point on Tuesday the Kospi had logged its worst two-day decline since the start of the Iran war — it remains one of the world's best-performing indexes this year.
In early European trades, pan-region futures STXEc1 were down 0.9%, German DAX futures FDXc1 fell 0.9% and FTSE futures FFIc1 slid 0.4%.
Chinese stocks fared better than most after data showed exports surged in June, buoyed by demand for chips and data centre computing power to fuel the global AI boom.