Tony Abbott at New York Stock Exchange
Australia's Prime Minister Tony Abbott (L) rings the opening bell at the New York Stock Exchange June 10, 2014. REUTERS / BRENDAN MCDERMID REUTERS

Prime Minister Tony Abbott popped into Hugh Jackman's early morning workout in a New York City gym. It turned out, Wolverine and Les Misérables' Jean Valjean was far more elated to see the prime minister.

Jackman took a picture of them and posted it through his Instagram account.

"Look who popped into our early AM workout. The PM can train!" his caption said.

Standing beside each other, Mr Abbott, Australia's Iron Man, looks meager with Jackman's Wolverine arms.

Mr Abbott began meeting "whoever he wants" as he touchdown New York Tuesday.

Australia's Prime Minister Tony Abbott (L) rings the opening bell at the New York Stock Exchange June 10, 2014.

As how Labor leader Bill Shorten put it, the prime minister was "entitled to meet with whoever he wants."

"I just wish Mr Abbott would come and meet with real Australians who are putting up with the unfair impact of his budget."

The prime minister jogged with firefighters, been in a quick meet up with Ban Ki-moon and had paid respect to the 9/11 memorial.

But his dinner with "distinguished Australian" News Corp's Rupert Murdoch on Wednesday had so far became the most controversial as it sparks tirade from other Australian politicians.

What transpired during the dinner between the two men would remain confidential, a spokesman for Mr Abbott said.

However, it could be implied by Murdoch's tweet prior to the dinner that climate change will be talk about over their meal together.

''Wild winter in US, UK, etc. no respectable evidence any of this man made climate change in spite of blindly ignorant politicians," Murdoch tweeted.

Both ex-prime ministers Julia Gillard and Kevin Rudd dined with Murdoch in New York during their terms, but Mr Abbott's visit became target of sarcastic tweet from Greens leader Christine Milne.

''@TonyAbbott MHR set for dinner and latest instructions from Rupert Murdoch,'' Milne tweeted.

Meanwhile, U.S. ex-Vice President Al Gore could but only wish for few minutes with Mr Abbott.

If given few minutes with Mr Abbott, he would ask him to "think of your children and grandchildren, think of the people who are already suffering the consequences of the climate crisis, " Gore said.

Speaking with Fairfax Media, Gore expects for Mr Obama to raise the issue on climate change during the two leaders' meeting at the White House.

"I am not a citizen of Australia and I don't feel I have the privilege of entering your political debate. But we have had deniers of the climate crisis in office in the US as well. History will not be kind to those who looked away, much less those who sought to prevent [action on climate change], " Gore said.

"I don't pretend to know what the basis of his thinking is, but Mother Nature has a louder voice."