Trump has made the United States economy and trade a cornerstone of his presidency in line with his "America First" campaign, and has sought to renegotiate pacts with China, Canada and Mexico as well as the EU.
Asked for his "feelings on Brexit" Mr Varadkar replied: 'We have a different opinion, Mr President. "I regret that Brexit's happening". Varadkar even spoke about his sexuality at the Naval Observatory. More than 30 million Americans, or about one in 10, have Irish ancestry.
The meeting comes on the second day of Mr Varadkar's St Patrick's Day tour in the USA capital.
After Brexit, "we can do a very big trade deal with the United Kingdom", noted Trump.
The Taoiseach added that the futures of the USA and Ireland were entwined.
The breakfast came after a meeting between Pence and the prime minister a year ago, where Varadkar "raised LGBT+ rights and equality issues", the UK's Independent reported.
He added that he accepted the gift as a symbol of America's "enduring friendship" with Ireland.
"Many of the traditions this president violates pertain to political etiquette and expectations", aid Kathleen Costello-Sullivan, a historian at Le Moyne College.
With May's second defeat over Brexit since January, the British people are facing a hard choice between a no-deal Brexit or a delayed Brexit. "The potential is unlimited!"
Klopp warns Liverpool to respect Porto
Speaking after the game, Klopp expressed his thoughts on the victory, insisting Liverpool are now back on the map after their win. The Senegal global also netted a brace in the 3-1 Champions League last-16 second leg win over Bayern Munich on Wednesday.
Parliament will vote later Thursday on whether to extend the March 29 deadline for a deal.
The Irish PM said the most pressing issue facing his country was how to settle questions about the future of the border between Ireland, an European Union member, and Northern Ireland, which won't be.
Mr Trump, who was hosting Mr Varadkar for the annual St Patrick's Day visit to Washington, had earlier taken to Twitter to to express his hopes for a future working relationship with Britain.
"I will tell you, I'm surprised at how badly it has all gone from the standpoint of a negotiation".
Mr Trump's comments come as MPs prepare to vote on a second Brexit referendum this evening - the first time they have been given an official opportunity to have their say on the issue.
Today the Taoiseach will leave Washington and travel to Chicago to meet emigrant support groups.
The visit and the news conference were the day after the June 23 Brexit vote, not the day before. "But I think it could have been negotiated in a different manner".