Australian cities began easing lockdown restrictions as the country recorded a drop in community transmission of COVID-19, with only one new case reported in the last 24 hours.
"We are winning but we have not won yet," Health Minister Greg Hunt stressed.
Australia, which imposed an early shutdown of borders and businesses, has managed to reduce the number of cases and deaths.
Coronavirus testing centres have been set up across the country, with the government urging people to undergo tests regardless of whether they have symptoms.
A month after being closed for violations on social distancing rules, Bondi Beach and two neighbouring beaches in Sydney were reopened to local residents on Tuesday.
Meanwhile, New South Wales (NSW) state announced easing of stay-at-home rules.
"Two adults will be able to go and visit anybody else in their home on the basis of care, on the basis of reducing socialisation and everybody's mental health," said NSW Premier Gladys Berejiklian, with children allowed to accompany adults on house visits.
Pope Francis' funeral will be held on Saturday in St. Peter's Square, Roman Catholic cardinals decided on Tuesday, setting the stage for a solemn ceremony that will draw leaders from around the world.
Cardinals gathered at the Vatican on Tuesday to plan Pope Francis' funeral, which leaders from around the world will attend ahead of a conclave next month to elect a new head of the Roman Catholic Church.
Hundreds of Filipinos gathered at a solemn Mass held for Pope Francis on Tuesday, following his passing that has stirred deep sorrow among Catholics around the world, many of whom saw him as a humble and compassionate leader.
Russian President Vladimir Putin proposed on Monday bilateral talks with Ukraine for the first time since the early days of the war, and his Ukrainian counterpart Volodymyr Zelenskyy said Kyiv was eager to discuss a halt to attacks on civilian targets.
Pope Francis, the first Latin American leader of the Roman Catholic Church, died on Monday after suffering a stroke and cardiac arrest, the Vatican said in a video statement.