An Irish government spokesperson confirmed the planned call, adding that Varadkar had held phone calls with a number of other worldwide leaders since his appointment two weeks ago - including French President Emmanuel Macron, British Prime Minister Theresa May, Indian Prime Minister Narendra Modi and German Chancellor Angela Merkel.
Donald Trump and Irish premier Leo Varadkar say they are both looking forward to meeting in person next March in Washington.
US President Donald Trump congratulated Varadkar on his "great victory"..
Chile gear up for tough Confed Cup semi-final against Portugal
Raphael Guerreiro is also still recovering from a left ankle blow he suffered in the 1-0 win over Russian Federation . It was a typically efficient performance from Portugal who never looked in real danger despite a sluggish start.
"Congratulations on your great victory", Trump said to the Taoiseach.
"I totally reject and oppose President Trump's attempt to withdraw the United States from the commitments made in Paris", he said, in reference to the accord struck in 2016.
"I just want to congratulate you".
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Nicola Sturgeon shelves second independence referendum
In the general election earlier this month, Ms Sturgeon's Scottish National Party lost 21 of its 56 seats, falling to 35 per cent. For now, Sturgeon restated her plea for May to allow Scottish ministers to join the negotiations between London and Brussels.
The Taoiseach said numerous illegal Irish in the USA had originally travelled on legitimate documentation but for a variety of reasons now needed to regularise their situation.
President Trump is due to take the call from the Oval Office.
The 38-year-old Varadkar, who was born in Dublin to an Indian immigrant father and an Irish mother, is seen as progressive on social issues such as gender equality and abortion rights.
No indication has been given as to what the two leaders will talk about this afternoon, or whether a visit will be discussed.
'Transformers: The Last Knight' debuts to a franchise low
Wityh a modest $38 million budget, it should be able to eke out a profit on a likely $75 million final domestic gross. Paramount has already suffered flops at the box office this year with " Ghost in the Shell " and " Baywatch ".