The 33-year-old Nadal will be playing in his 27th major final and the 23-year-old Medvedev is in his first on Sunday at Flushing Meadows.
Medvedev had never been past the fourth round at any Grand Slam tournament until this one.
He has been terrific on hard courts in recent weeks, going 20-2 and reaching four finals in a row.
One of those came against Nadal, who beat the Russian in straight sets at the Montreal Masters in August.
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