The meeting comes a week after a gunman killed four people in a shooting rampage in the heart of Vienna, an attack claimed by the Islamic State (IS) group.
The bloodshed in the Austrian capital followed last month's attack on a church in Nice and the beheading of a teacher near Paris.
Some of the participants in Tuesday's video call will take questions during an online news conference afterwards, Macron's office said.
His brother Jeb Bush -- the former Florida governor who had himself aspired to the presidency until Trump grabbed the party's nomination in 2016 -- earlier sent Biden his own congrats.
"I will be praying for you and your success. Now is the time to heal deep wounds. Many are counting on you to lead the way,"
Republican senators Mitt Romney of Utah and Lisa Murkowski of Alaska have also extended congratulations to Biden, while many other Republican officials are calling that premature, saying not all votes have yet been counted and not all challenges resolved.
Former president Bush agreed that Trump had "the right to request recounts and pursue legal challenges."
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But he added: "The American people can have confidence that this election was fundamentally fair, its integrity will be upheld, and its outcome is clear."
Sounding a message of unity that echoed Biden's own words, Bush added: "We must come together for the sake of our families and neighbors, and for our nation and its future.
"There is no problem that will not yield to the gathered will of a free people
As Georgia vote count drags on, tense standoff highlights America's deep divide
But Jean-Claude Juncker, former European Commission president, earlier offered a typically blunt assessment: "Joe Biden isn't going to change Washington's approach to international issues overnight, because he can't."
And Sebastien Maillard, head of the Jacques Delors Institute named after an influential former EU chief, cautioned that "the Europeans need to learn to live without American global leadership."
"For the foreseeable future, the US will be preoccupied with itself," agreed German political scientist, Markus Kaim.
The comments spoke to an expectation that there was no going back to seeing America as the West's sheriff, flexing military muscles across the world in the ways it did in the decades following the Cold War.
While the US still maintains aircraft carrier battle groups in different regions, and bases including in Europe, South Korea, Japan, Afghanistan and Bahrain, it has been withdrawing from conflict zones under a trend accelerated by Trump but started by his predecessor Barack Obama.
More notably, within the past two decades much of its military focus has moved to Asia, away from Europe.
Nathalie Tocci, head of the Italian think tank the Instituto Affari Internazionali, added: "We are witnessing the end of American imperialism with the United States no longer wanting to be the world's policeman."
So what can Europeans expect from the new US president?
With Biden, EU must still 'live without US global leadership'
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Nehammer said two men and two women died from the injuries they sustained in the attack that started shortly after 8pm local time on Monday near Vienna’s main synagogue as locals were enjoying a last night out before a month-long coronavirus lockdown.
At least 24 people were also taken to hospital for their injuries, three of whom are in life-threatening condition, Vienna’s hospital service said.
The Interior Minister said that initial investigations indicate the suspect who was killed had sympathised with the Islamic State (IS) group.
“We experienced an attack yesterday evening from at least one Islamist terrorist,” he told a televised news conference. "This is a radicalised person who felt close to IS."
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He also said that the suspect has been identified and was a 20-year-old dual citizen of Austria and North Macedonia. In April 2019, he was sentenced to 22 months in prison for attempting to travel to Syria to join the IS group, but was released early in December.
"The perpetrator managed to fool the de-radicalisation programme of the justice system, to fool the people in it, and to get an early release through this," the minister said
