In a leaked message, Deputy Prime Minister Barnaby Joyce, who heads the junior partner in Morrison's coalition government, said last year that he had never trusted Morrison.
Canada's ruling Liberal Party, led by PM Justin Trudeau, is set to form a minority government after a tight election race, according to Canadian media projections.
Prime Minister Scott Morrison is under pressure to stop sidestepping the issue and do more.
The governing Democratic Party and a satellite party it created to win proportional representative seats combined to win 180 seats in the 300-seat National Assembly, election officials said with vote-counting nearly complete.
Prime Minister Igor Matovic and his team were sworn in at a ceremony with participants wearing facial masks as a precaution against coronavirus.
Canberra has been trying to neutralise China’s influence by banning foreign political donations and all covert foreign interference in domestic politics.
Trudeau expanded his cabinet to a slightly larger 36 members after the Liberals lost 20 seats on October 21.
Prime minister’s Liberal party fell short of commanding a majority in parliament meaning the left-leaning New Democrat Party could prove to be a kingmaker.
Some 27.4 million Canadians are eligible to elect 338 members of parliament after a tense and sometimes bitter election campaign.
Coalition returns to power in a stunning result, after opinion polls and odds-makers tipped the opposition Labor Party to win. The outcome ranks as Australia's biggest election upset since 1993, when Labor prime minister Keating returned to power.
PM Scott Morrison approved reopening Christmas Island after a legislative defeat in Parliament allowed refugees and asylum seekers detained in existing offshore centres to travel to Australia for medical treatment.
The former treasurer in Malcolm Turnbull's government was sworn in as the country's prime minister after he defeated Peter Dutton in a vote to lead the Liberal Party.
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