Northern Ireland duo Keith Gillespie and George McCartney have been fined by the Irish Football Association after last week's scuffle.
The IFA issued a statement: "Issues surrounding the incidents which occurred involving certain players within the Northern Ireland squad during the trip to Iceland have now been addressed and resolved.
"The IFA wishes to apologise to any members of the public who were affected in any way by the behaviour of these players."
IFA president Raymond Kennedy added: "The IFA has been shown up in a poor light as a result of behaviour, which of course is unacceptable.