Australia captain Pat Cummins claimed members of the Marylebone Cricket Club were "aggressive and abusive" towards his players in the Long Room and is expecting punishment.
England captain Ben Stokes claimed he wouldn't "want to win a game in that manner" following Australia's victory at Lord's on Sunday.
England coach Brendon McCullum said he doubts his team will be hanging out with their Australian counterparts following a difficult loss in the second Ashes Test.
Another thrilling Test match saw Australia edge the Ashes hosts amid tense scenes at the home of cricket.
Marylebone Cricket Club has issued an apology after an angry exchange between its members and the Australian team was picked up by television cameras.
Ben Stokes notched up a century at Lord's on the final day of the second Ashes Test after watching Jonny Bairstow's controversial dismissal.