Ryan Giggs has been arrested, leading Wales to cancel a press conference scheduled for Tuesday.
The Sun said police were called to the 46-year-old former Manchester United winger's home on Sunday night after receiving reports of a disturbance.
"Police were called at 10.05pm on Sunday to reports of a disturbance. A woman in her 30s sustained minor injuries but did not require any treatment," the paper quoted a statement from Greater Manchester Police as saying.
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"A 46-year-old man was arrested on suspicion of section 47 assault and section 39 common assault."
He was released on bail pending enquiries, the paper said. The BBC reported that, "his representatives said he denies all allegations of assault made against him and is cooperating with the police."
Greater Manchester Police were not immediately available for comment.
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The Welsh football association (FAW) noted the allegations against Giggs.
"The FAW is aware of an alleged incident involving the men’s national team manager Ryan Giggs," it said in a statement.
"The FAW will be making no further comment at this current time."
Wales were due to name their squad on Tuesday for November matches against the United States, Ireland and Finland but have postponed it, reports said.
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