Michael Cheika’s conduct during Australia’s 30-6 loss to England at Twickenham last Saturday is being investigated by World Rugby.

The Wallabies head coach was displeased by some of the decisions by the referee and when a Michael Hooper try was disallowed in the first half, he appeared to mouth “fucking genius” in reference to the decision made by the referee.

When asked after the match if he had actually called O’Keeffe a “fucking cheat”, Cheika ended the interview.

On two occasions he walked down the steps from the coaches’ box to the touchline to remonstrate with officials and received abuse from supporters that he described as a “gobful” that was “not pleasant”, at one point resulting in a verbal exchange with a fan.

Jon Davis, the disciplinary officer for the autumn internationals, is looking into his behaviour on Saturday afternoon.

“Following various media reports and a referral from World Rugby, the comments and conduct attributed to Michael Cheika are being investigated. An update will be issued tomorrow (today),” read a statement issued by the body that oversees disciplinary matters for the November Tests.