Greenwood was arrested by officers in Manchester on suspicion of rape and GBH, and was last night being quizzed over the fresh allegations.
Manchester United suspended the player indefinitely following his arrest, and released an updated statement after his re-arrest.
A spokesman for the club said: “Manchester United reiterates its strong condemnation of violence of any kind.
“As previously communicated, Mason Greenwood will not train with, or play for, the club until further notice.”
A Greater Manchester Police spokesman confirmed the force were granted more time to quiz the £75,000-a-week footballer.