Sri Lanka off-spinner Muttiah Muralitharan, called for throwing on his past two tours of Australia, said on Thursday he does not expect any more trouble from local umpires.

"It doesn't matter as long as everything is done right for me," Muralitharan told reporters. "They can't question me anymore, in my mind, because it's gone. It's all past.

"I never thought about not coming to Australia. I always wanted to play here."

The 30-year-old Sri Lankan, who is recovering from a hernia operation, arrived with the team in Brisbane on Wednesday. He said he was hoping to return for the January 9 match against Australia in Sydney in the triangular one-day series, which includes England.

Muralitharan has not played in Australia since he was called for throwing in 1995-96 and 1998-99. He is the third highest wicket-taker in Test cricket with 437 victims, behind only Australia leg-spinner Shane Warne and retired West Indies fast bowler Courtney Walsh.

Sri Lanka will play a warm-up match against Australia A in Brisbane on Saturday ahead of their first game of the series against England in Brisbane on December 17.

Australia will start the series with matches against England in Sydney on Friday and Melbourne on Sunday.

Muralitharan said he is looking forward to adding to his array of deliveries which have also produced 297 wickets in 200 one-day internationals.

"You've got to keep on trying," he said. "I'm trying hard to bowl new balls and it might work or it might not work.

"If I can play another 40 Tests and average five a match - that's 200 wickets," he said.

Coach Dav Whatmore, a former Australia Test batsman, said Muralitharan has become an amazing force in international cricket.

"Years ago you wouldn't say that anyone would fear an off-spinner. A lot of teams do now," he said.