However, expectations of more rate cuts in both countries together with global geopolitical headwind kept investors on the defensive.
The Australian dollar was last a tad higher at $0.6751, well below key chart resistance of $0.6800. The Aussie has breached that level three times over the past week but has failed to sustain above.
The edge higher on Thursday was helped by comments by US President Donald Trump that the United States and China were having "good conversations" and that an agreement "could happen sooner than you think."
The Aussie is often traded as a liquid proxy for the Chinese yuan as the country's small, open economy is heavily reliant on exports to China.
Trump's remarks were still not enough to help the Aussie recover from Wednesday's 0.7% fall which was its equal biggest single day percentage loss since mid-August.
Also weighing on the currency, official data on Australian job vacancies showed a 1.9% drop in August from a year earlier, the steepest annual decline in five-and-a-half years.
"The loss of momentum on job vacancies - particularly in the most populous states of New South Wales and Victoria - points to slower employment ahead and thus giving the Reserve Bank further reason to be cutting interest rates," said CommSec chief economist Ryan Felsman.
Commonwealth Bank Group economists expect a rate cut on Oct. 1 and a follow-up move in February 2020.
Economists and investors widely expect the Reserve Bank of Australia (RBA) to ease interest rates for the third time this year at its Oct. 1 board meeting to an all-time low of 0.75%.
Across the Tasman Sea, the New Zealand dollar was 0.5% higher at $0.6302 after the country's central bank governor Adrian Orr said in a speech it was unlikely the Reserve Bank of New Zealand (RBNZ) would need to use unconventional monetary policy.