The NYPD identified the man as 50-year-old Clifton Williams.
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The latest development comes after the 66-year-old Brooklyn native and current Manhattan resident was slugged in the face while he was walking on Third Avenue near 27th Street this past Wednesday.
Video in the media player above is from a previous report.
Witnesses say Buscemi ran after his attacker.
Buscemi was taken to Bellevue Hospital where he was treated for bruising, swelling and bleeding to his left eye.
On Sunday night, his publicist released a statement saying in part,
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"He is ok and appreciates everyone's well wishes, though incredibly sad for everyone that this happened while also walking the streets of New York."
Buscemi's "Boardwalk Empire" co-star Michael Stuhlbarg was hit in the back of the neck with a rock while walking in Manhattan's Central Park on March 31. Stuhlbarg chased his attacker, who was taken into custody outside the park.
Some information from the Associated Press.
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