Tonga's national rugby coach Toutai Kefu is on the mend after a "brutal and violent" attack on him and his family.

Both Kefu and his son John were "operated on yesterday and are recovering well," wrote his daughter Olivia on Tuesday on social media.

She added that her sister Madi and her mother Rachel will also have an operation on Tuesday.

The 47-year-old Kefu had suffered serious abdominal injuries on Monday when several young perpetrators broke into his home in Brisbane and, according to the responsible detective chief Tony Fleming, was in "critical condition" in the meantime.

Flemnig spoke of a "brutal and violent" attack in which Kefu's wife and two of his children were injured.

According to Fleming, the burglars broke into the property of the former Australian international armed with axes and knives.

So far, a 15 year old boy has been arrested on suspicion of attempted murder.

"It's most likely a break-in that went wrong, although I think that's an understatement," Fleming said on Monday.

Kefu has played 60 games for the Australian national team and has coached Tonga's selection team since 2016. In 1999 he won the World Cup in rugby union with Australia, the popular variant with 15 players per team. Numerous leaders and former players from Australia, New Zealand and Samoa wished Kefu and his family a speedy recovery.