Following the G7 summit of world leaders in Biarritz, France, Trump said he believed China was sincere about the desire to reach a deal, citing what he described as increasing economic pressure on Beijing and job losses there.
The local share price index futures rose 0.3pc to 6,417.0, a 23.1-point discount to the underlying S&P/ASX 200 index close.
The benchmark declined 1.3pc on Monday.
New Zealand's benchmark S&P/NZX 50 index rose 0.6pc in early trade.