A source told The Sun: "The clock is counting down to the Euros and Jack's trying desperately to make it back from injury.
"The big question is, what's he doing out at 3am in the West End?
"Arsenal and England fans will want to know why he's not at home looking after himself, instead of being anywhere near an incident where the police get involved."
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Jack Wilshere returned to training with Arsenal last week
Arsenal said the midfielder has denied any involvement in an earlier incident and described it as a "private matter".
Cops said patrolling officers were made aware of an "altercation between two groups of men" at Cafe de Paris.
It is reported that an argument broke out inside the club and spilled out on to the street. No arrests have been made.
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Arsenal midfielder Wilshere has missed the whole of this season through injury
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The footage shows Wilshere covering himself with his coat as several people can be seen taking pictures or filming him using mobile phones.
A witness told the Mirror: "About six police officers appeared out of nowhere and luckily split the two groups up, taking them down an alleyway littered with rubbish to speak to them.
A Scotland Yard spokesman said: "At 2.15am on Sunday, 3 April, police patrolling Coventry Street became aware of two groups of males involved in an altercation.
Jack Wilshere's ultimate XI including Fabregas, Gerrard and more
"Officers intervened and one man claimed he was assaulted. He did not require hospital treatment.
"There have been no arrests and inquiries continue. We will not comment on who may or may not have been involved."