Chinese President Xi Jinping has told Anthony Albanese China stands ready to work with Australia “to push the bilateral relationship further”, in their meeting in Beijing on Tuesday.

During the meeting, Albanese raised Australia’s concern about China’s lack of proper notice about its warships’ live fire exercise early this year.

The prime minister later told journalists Xi had responded that “China engaged in exercises, just as Australia engages in exercises”.

The government’s proposed sale of the lease of the Port of Darwin, now in the hands of a Chinese company, was not raised in the discussion.

On Taiwan, Albanese said he had “reaffirmed […] the position of Australia in support for the status quo”.

This was the fourth meeting between Xi and Albanese. The prime minister is on a six-day trip to China, accompanied by a business delegation. He is emphasising expanding trade opportunities with our biggest trading partner and attracting more Chinese tourists, whose numbers are not back to pre-pandemic levels.

Albanese has come under some domestic criticism because this trip comes before he has been able to secure a meeting with United States President Donald Trump.

In his opening remarks, while the media were present, Xi said the China-Australia relationship had risen “from the setback and turned around, bringing tangible benefits to the Chinese and Australian peoples”.

Anthony Albanese and partner Jodie Haydon arrive in Beijing, China. Lukas Coch/AAP

“The most important thing we can learn from this is that a commitment to equal treatment, to seeking common ground while sharing differences, pursuing mutually beneficial cooperation, serves the fundamental interests of our two countries and two peoples.

"No matter how the international landscape may evolve, we should uphold this overall direction unswervingly,” he said.

“The Chinese side is ready to work with the Australian side to push the bilateral relationship further and make greater progress so as to bring better benefits to our two peoples.”

Responding, Albanese noted Xi’s comments “about seeking common ground while sharing differences. That approach has indeed produced very positive benefits for both Australia and for China.

"The Australian government welcomes progress on cooperation under the China-Australia Free Trade Agreement, which has its 10th anniversary year. As a direct result, trade is now flowing freely to the benefit of both countries and to people and businesses on both sides, and Australia will remain a strong supporter of free and fair trade.”

Albanese told the media after the meeting his government’s approach to the relationship was “patient, calibrated and deliberate”.

“Given that one out of four Australian jobs depends on trade and given that China is overwhelmingly by far the largest trading partner that Australia has, it is very much in the interest of Australian jobs, and the Australian economy, to have a positive and constructive relationship with China.

"Dialogue is how we advance our interests, how we manage our differences, and we guard against misunderstanding.

"President Xi Jinping and I agreed dialogue must be at the centre of our relationship. We also discussed our economic relationship, which is critical to Australia. We spoke about the potential for new engagement in areas such as decarbonisation”.

Xi did not bring up China’s complaints about Australia’s foreign investment regime.

Albanese said he raised the issue of Australian writer Yang Jun, who is incarcerated on allegations of espionage, which are denied.

Premier Li Qiang was hosting a banquet for Albanese on Tuesday night.

Anthony Albanese and his fiancé Jodie Haydon walk along the Bund with former Socceroo and Shanghai Port FC Manager Kevin Muscat (left) in Shanghai. Dominic Lorrimer/AAP

An editorial in the state-owned China Daily praised the Albanese visit, saying it showed “the Australian side has a clearer judgement and understanding of China than it had under previous Scott Morrison government”.

“The current momentum in the development of bilateral relations between China and Australia shows that if differences are well managed, the steady development of ties can be guaranteed , even at a time when the political landscape of the world is becoming increasingly uncertain and volatile,” the editorial said.

Australian journalists had a brush with Chinese security, when they were taking shots of local sights in Beijing. Security guards surrounded them and told them to hand over their footage. The incident was resolved by Australian officials.