The player, who cannot be named for legal reasons, has been released on bail until August having spent around 30 hours in custody being quizzed over three alleged attacks.
It was revealed on Monday that the player had been arrested in the early hours over an alleged rape which is reported to have taken place in June.
In an updated statement, Scotland Yard said: "On 4 July, an allegation of rape of a woman in her 20s was reported to police. It was reported the alleged rape happened in June 2022.
"On 4 July, a 29-year-old man was arrested at an address in Barnet on suspicion of rape and taken into custody.
"While in custody, he was further arrested on suspicion of two incidents of rape that were alleged to have been committed in April and June of 2021 against a different woman in her 20s.
"He has subsequently been released on bail to a date in August. Enquiries into the circumstances are ongoing."
The Daily Telegraph, who broke the story, has contacted the player's club.
The player is well known on the international stage and is due to play at the World Cup in Qatar, which begins in November.
It's not clear if he will play in his club's pre-season fixture schedule. The Premier League season begins on August 5.