The England and Wales Cricket Board is investigating "a breach of team protocols" following the first Test against New Zealand.
England captain Ben Stokes and bowler Gus Atkinson "were present at a nightclub in the early hours of Monday when an incident took place", a statement from the ECB said.
It continued: "We are currently seeking further information, and an announcement regarding the squad for the second Test will be made in due course.
"The Cricket Regulator has been informed and we will provide a further update when possible."
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England had imposed a midnight curfew on players following disciplinary concerns during the Ashes series, and the preceding tour of New Zealand.
Rugby club Saracens responded to reports linking the incident to a player from the Gallagher Prem side.
The Saracens statement read: "We are aware of an incident involving an academy player connected to Saracens on Sunday evening.
"The club is currently establishing the full facts and is in contact with the relevant authorities and individuals involved. Once this process is complete, the matter will be reviewed and addressed appropriately.
"We will make no further comment at this time."
England, playing their first Test since losing the Ashes, had wrapped up a 115-run win over the Black Caps at Lord's on Sunday.
Stokes, 35, helped steer his team to victory despite complaining about the standard of the Lord's pitch.
Atkinson played a major role in the win - taking five wickets in New Zealand's second innings and seven in the match.
England will resume their Test series against New Zealand on 17 June at The Kia Oval in south London.
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