Matthew Dellavedova has celebrated the NBA's first official Australia Day game by passing a major scoring milestone as he helped the Cleveland Cavaliers beat the Minnesota Timberwolves.

Dellavedova, wearing his green-and-gold sneakers, checked into the game in Cleveland midway through the first quarter to huge cheers.

In an amazing coincidence, Dellavedova quickly made a floater off the glass and a pair of three-pointers to pass 1,000 career points in the first quarter.

The 25-year-old finished the Cavaliers' 114-107 win with an impressive 18 points and seven assists, with four three-pointers made.

"I wouldn't have, in my wildest dreams, thought something like this could happen," he said after the game.

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The whole arena was flashing Aussie colours and Australian pop star Cody Simpson opened the evening by singing Advance Australia Fair before the US national anthem.

Dellavedova then took the microphone to address the crowd to thank the Cavaliers organisation "for bringing this Australia Day game to life".

"It's created a lot of excitement back home," he said.

"I want to say happy Australia Day to everyone in Australia, especially everyone watching in Maryborough [Dellavedova's Victorian home town], hey to Mum and Dad.

The Cleveland Cavaliers' Twitter account turned green and gold for Australia Day. ( Twitter: @cavs )

"And lastly, thanks to everyone in Cleveland for making me feel so welcome. Your support is unreal. Go Cavs!"

Dellavedova had brought an Australian Rules football to training earlier in the week and suggested Brazilian centre Andersen Varejao could have a future in the AFL after basketball, though he was probably being a bit generous to the seven-footer.

While Dellavedova, who became a cult star after a run of brilliant performances in last year's NBA Finals, settled back on to the bench after his short pre-game speech on Tuesday, another Australian-born player took the floor for the Cavaliers.

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Point guard Kyrie Irving was born in Melbourne while his father, Drederick, was playing for the NBL's Bulleen Boomers.

The first pick in the 2011 NBA draft represents the United States on the international stage but holds dual citizenship.

Irving scored 17 points, with nine rebounds and four assists in the Cavaliers' win.

Dellavedova and Irving were not the only two Australians in action on Tuesday.

New Zealand-born Aron Baynes played more than 18 minutes for the Detroit Pistons in their 95-92 win over the Utah Jazz.

Baynes had eight points, five rebounds and two assists for the Pistons, while the Jazz's Australian forward Joe Ingles had five points, nine rebounds and three assists in a losing cause.

"We'll beat Baynes for you tonight, because he's a Kiwi," Boomers veteran Ingles had earlier said in a Facebook post before the game alongside Dante Exum, who is sitting out the 2015/16 season after tearing his ACL.

Patty Mills's San Antonio Spurs had a tough night against Andrew Bogut and the Golden State Warriors, with the Spurs going down 120-90 in Oakland.

Steph Curry dominated with 37 points for the Warriors, despite being rested for most of the last quarter. Mills finished with three points and two assists for the Spurs, while Bogut had four points and three rebounds for the winners.

Cameron Bairstow did not play in the Chicago Bulls' 89-84 loss to the Miami Heat.

There are currently eight players in the NBA who were either born in Australia or represent the country on the international stage.

Next year, there is expected to be at least one more, with Ben Simmons currently making waves on the college scene.