The Chinese version of the meeting also recounts Ms Bishop blaming the Australian media for "negative reports" that had recently affected Australia-China relations.

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Those reports "do not represent the position of the Australian government", and the Turnbull government "believes that China's development is a major opportunity rather than a threat," she is recorded saying.

Mr Wang said China hoped to "improve relations" and had taken note of recent public statements by senior Australian officials, including Ms Bishop.

He wanted to emphasise that, "if Australia sincerely hopes the relations between two countries return to the right track ... it must break away from traditional thinking, take off their coloured glasses and look at China's development from a positive angle, and provide more cooperation between two countries instead of recoiling."

"Coloured glasses" is a term long used by Chinese officials to refer to foreigners they say are prejudiced against China.

Trade Minister Steven Ciobo travelled to Shanghai last week to make a conciliatory speech to a business dinner and attend an AFL match, but was only able to meet with Shanghai's mayor Ying Yong and not more senior Beijing officials.

It was the first visit to China by a Turnbull Government minister this year, and came after Beijing blocked official invitations being issued for Australian politicians to attend the Boao Forum in April.

Indicating that Mr Ciobo's Shanghai speech had achieved the desired effect, Ms Bishop said she would soon visit Beijing.

She was recently criticised by former Australian ambassador Geoff Raby for not visiting China in two years, and responded angrily to Mr Raby's call for her sacking.

Speaking on Sky News on Tuesday, Ms Bishop played down reports of a Chinese customs slow down on Australian wine and said people were disproportionately magnifying issues on the relationship with China.

She told the ABC: "I get on very well with Foreign Minister Wang Yi, we've known each other for a very long time. Australia will continue to approach our bilateral relationship with goodwill and realism and pragmatism and open communication.

"While we stand up for our values and our interests and our policies and we can disagree with friends from time-to-time, most certainly the relationship is strong and we discussed ways on how we could cooperate further."

Ms Bishop has also played up her interactions with Mr Wang at the G20, tweeting photographs of  her standing next to Mr Wang in the G20 group photo, and another of her and Mr Wang having a "warm discussion" at an evening function the night before.

Mr Turnbull said on Friday he would visit Beijing this year.

China was angered by comments by Mr Turnbull last year that linked Australia's new foreign interference legislation to media reports about Chinese interference in Australia.