There will be no action taken against the fan who got into a heated altercation with Wallabies loose forward Lukhan Tui at the weekend.

After the Wallabies loss to Argentina on Saturday night, Tui and a man in the crowd got into a heated exchange.

The fan was detained by police and escorted from the venue after the incident, in which Tui reacted to one of his family members being physically impacted by the fan's exchanges with another member of the crowd.

Rugby Australia released a statement on their findings, which noted venue security would be reviewed as a result of the incident.

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"This incident was not something you want to see at a sporting event," Rugby Australia chief executive Raelene Castle said.

"Emotions were running high after the match on Saturday night and I understand why Wallabies fans are frustrated after a result like that.

"Two fans came into the area where players families were gathered and were arguing and using offensive language in criticising the players over their performance.

Wallabies team management have since been in touch with Tui, who indicated he did not want to pursue the matter any further.

"Therefore no action will be taken by Rugby Australia."