President Trump recently talked Brexit and trade relations with the prime minister of Ireland, while hosting the leader at the White House.
After he met Pence at his home past year, Varadkar told Irish reporters that the two discussed LGBT issues and that the vice-president told the Irish leader that his partner would be welcome at his home.
"I think there will be changes in global taxation and I want Ireland to be on the right side of history when it comes to those but we shouldn't do anything that creates a disadvantage for ourselves or hands an advantage to our competitors and that's why if we are going to change the way tax is structured, the best way to do it is on an worldwide level and I think that is best done through the OECD".
One of Mr Trump's golf courses is in the County Clare village of Doonbeg.
Trump said Brexit was "tearing countries apart" and added that he was surprised "how badly" it has gone since the UK's referendum on leaving the EU.
Asked his view of the Brexit mess, Varadkar took a contrary view.
"It's a very complex thing right now, it's tearing a country apart". Mr Trump said he had seen Mr O'Rourke's announcement and said: "I've never seen so much hand movement".
Gardiner rejects Irish concerns about the border and said the issue has been used as a "battering ram" by European Union leadership keen to make Britain a cautionary example to other member states flirting with an exit.
"We spoke about Brexit". "I regret that Brexit's happening and the United Kingdom was a really important part of the European Union".
Donald Trump wore a shamrock in his breast pocket during his meeting
This is the second time that the Fine Gael leader has visited the Oval Office and Trump stated that he's becoming "fast friends" with the Taoiseach.
"Both of us thought it was a good idea so we talked about how that might work", he said.
'I think it could have been negotiated in a different manner, frankly.
"On (EU) proposals around digital tax, we didn't support them and they have largely been parked", Mr Varadkar added.
In carefully crafted words that will surely resonate with the LGBT community in the US, Mr Varadkar told how that country had inspired him to run for office and drive change in Ireland.
President Trump, perhaps not wanting to spoil the chummy mood of the annual St. Patrick's Day-themed visit, announced at the start of his meetings with the Irish prime minister Thursday that he wasn't going to comment on Brexit, on which he and his guest vigorously disagree.
Pence called Varadkar's remarks at Thursday's breakfast "inspiring words". "I stand here, leader of my country, flawed and human, but judged by my political actions, and not by my sexual orientation, my skin tone, gender or religious beliefs". We are, after all, all God's children. "The land and the home of the fearless and the free".
At the Capitol Hill lunch hosted by Speaker of the House of Representatives Nancy Pelosi, Mr Varadkar avoided remarks similar to his infamous windfarm gaffe a year ago.
At the traditional shamrock presentation at the White House on Thursday evening, Mr Varadkar praised Mr Trump's ambitions to "make America Great Again".
The bowl presented to Mr Trump, in the company of his wife, Melania, was made in Kilkenny Crystal in Callan, the home town of Irish-American architect James Hoban.