It happened near the Spring Street station in SoHo around 4:45 a.m.
Police say a man tried to grab 26-year-old Gabriel Torres' wallet while he was sleeping.
Torres got into a scuffle with the suspect, and that's when authorities say he was slashed across his face.
He was taken to New York Presbyterian Lower Manhattan Hospital with a non-life threatening injury.
The suspect fled the scene, possibly on a subway train.
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