Bramble, 30, who played for Sunderland in their 2-1 Premier League defeat at Norwich on Monday, is now being held at a police station while detectives investigate the allegations.
"A 30-year-old man from Wynyard has been arrested on suspicion of sexual assault and possession of a Class A drug," said a spokeswoman for Cleveland Police in northeast England.
"He is currently being questioned by police and enquiries are ongoing."
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