Sweeping tariffs set to be imposed by President Donald Trump next month may cast a pall over his top diplomat’s first official trip to Asia this week — just as the U.S. seeks to boost relations with Indo-Pacific nations to counter China’s growing influence in the region.

Asian markets took a weak lead-in from Wall Street, which logged a muted overnight session as Trump threatened more trade tariffs, this time on copper and pharmaceutical imports. Trump’s threat came after he began issuing letters to major economies outlining U.S. tariffs on their imports.