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The appointment would mark a return to Citigroup for Diaz, who worked at the bank until 2011.
He left the bank to join Millennium as senior managing director of global execution services. He left the hedge fund last year.
At Citigroup, he will report to Derek Bandeen, global head of equities, the people said.
Citigroup declined to comment.
Citigroup's previous global head of equity trading, Kevin Russell, left to join UBS O'Connor last year.
Millennium Management was set up in 1989 by Israel "Izzy" Englander, and it managed $34 billion in assets as of the start of this year.
Business Insider reported Wednesday that Citigroup had hiredQuentin Andre is joining as global head of structured sales in the equities business, and Dirk Keijer is joining as head of equity derivative sales for Europe, the Middle East, and Africa.