Rugby Australia and Wallabies head coach Dave Rennie have been issued with a written warning by World Rugby following comments he made after last Saturday's 29-28 defeat against Wales.

Rennie was incensed that Wales centre Nick Tompkins’ second-half try at the Principality Stadium had been allowed to stand.

Wallabies full-back Kurtley Beale was sin-binned for a deliberate knock-on after 22 minutes, with Australia briefly reduced to 13 players because number eight Rob Valetini had received an earlier red card following a dangerous tackle on Wales lock Adam Beard.

In a post-match interview, Rennie told Amazon Prime Video: "I thought some of the decision making by the officials tonight was horrendous and played a big part in the result.

"Kurtley Beale got sin-binned for slapping the ball down. They (Wales) do the same thing, and it clearly goes forward and they get seven points out of us.

"We will end up getting an apology next week, but it won’t help the result. I thought we deserved better."

World Rugby issued a statement from Rennie and Rugby Australia, stating: "Dave Rennie wishes to apologise to the match officials and to World Rugby for the choice of language used in post-match media commitments following the Wallabies’ Test match against Wales in Cardiff.

"The choice of language and its timing did not meet the standards required from a coach or official in upholding rugby’s core values of discipline, integrity and respect.

"Rugby Australia and Dave Rennie accept the formal warning issued by World Rugby."

World Rugby added: "Match officials are the backbone of the sport, and without them there is no game.

"World Rugby condemns any public criticism of their selection, performance or integrity which undermines or threatens their role, the trust-based coach-officials feedback process, and more importantly, the values that are at the heart of the sport and must be upheld.

"While the comments made by Rennie in the post-match broadcast and media conference environments immediately after the Wales game are clearly not aligned with these values, the prompt, proactive and meaningful apology by Rennie and Rugby Australia is welcomed."