Speaking after the event English said he and Li had discussed China's relationship with the new US administration during their talks.
"Because he [Li] is an expert on both economies he understands and explains very well the economic inter-dependence of China and the US. They both realise that they need each other if they're going to lift incomes, particularly in China where there are strong expectations about rising incomes, he said.
Neither leader was particularly keen to talk US President Donald Trump by name.
"As he [Li] said today it's a relationship that goes through a few twists and turns" but it is fundamentally sound, " English said.
Trump has derailed the Trans-Pacific Partnership. He has also talked about imposing harsh tariffs, openly accused China of currency manipulation and indicated that the US might not treat World Trade Organisation rulings as binding.
At the G20 meeting of Finance Ministers in Germany this month key provisions promoting free trade and committing to end protectionist policies were dropped from the final communique.
That has sparked fears that the US is pushing the world to a more protectionist trade era.
"It is a risk, English said yesterday. If the US implemented some of the things that they've talked about then it wouldn't just effect us it would effect the world trading system. We're optimistic that the strength of the arguments for open trade will ultimately prevail.
In his speech Li reiterated China's commitment to global free trade.
"The world today is a community with a shared future and that is why we uphold free trade."
On Monday English and Li signalled negotiations for an "upgrade" to the New Zealand-China free trade agreement will begin next month, a step the Prime Minister said would help boost trade to $30 billion.
The talks are expected to start on April 25.
"The upgraded FTA - if compared to China's FTA's with other developed countries - will represent the most advanced level," Li told the Auckland lunch.
Li and English earlier visited the Fisher & Paykel headquarters in East Auckland to look at Kiwi innovation that's being sold in China.
The Kiwi company was bought out by Chinese whiteware manufacturer Haier in 2012 but has maintained its R&D facilities in South Auckland.