The tech billionaire and libertarian president met earlier this year in Texas, promising to work together to promote free markets as well as potential lithium projects.
The Argentine leader's trip will also include meetings with Ecuadorean President Daniel Naboa, EU Commission President Ursula von der Leyen, and Google's head of government affairs and public policy, Karen Bhatia.
Milei will on Tuesday address the UN General Assembly for the first time as president since taking office last December.
Musk has showed his admiration for Milei's embrace of private enterprise and the president's disdain for what he sees as socialist excesses.
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