President Trump recently talked Brexit and trade relations with the prime minister of Ireland, while hosting the leader at the White House.
While bilateral relations and Irish undocumented immigrants in the States were on the agenda for Mr Varadkar's Oval Office meeting with Mr Trump, Brexit dominated their talks.
"I will tell you, I'm surprised at how badly it's all gone from the standpoint of a negotiation", Trump said, sounding like he wasn't that surprised at all.
"People often ask me what I felt on Inauguration Day when I raised my right hand", Pence said.
On the prospect of another referendum, he said: "I don't think another vote would be possible because it would be very unfair to the people that won".
US President Donald Trump has again repeated his false claim that he predicted the result of the Brexit referendum the day before it happened.
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.
"It's a very complex thing right now, it's tearing a country apart".
Mr Varadkar said: "I stand here this morning as leader of my country, flawed and human, but judged by my political actions and not by my sexual orientation or my skin tone or my gender or religious beliefs".
Pompeo presses Kim Jong-un to keep his word on nuclear tests
South Korean officials are reportedly monitoring the situation. "We should not concede to North Korea's threats ", he stressed. He said he had spoken to his South Korean counterpart but wanted to consult with other US officials before responding further.
Trump has previously been critical of May's Brexit deal, warning that it could "kill" a bilateral trade agreement between the U.S. and the UK.
Today the Taoiseach will leave Washington and travel to Chicago to meet emigrant support groups.
Meanwhile, Trump claimed that the United States "will stay right in our lane".
Government sources confirmed that Taoiseach Leo Varadkar has been told that congressman Richard Neale will reintroduce the E3 scheme and has said so to senate minority leader Chuck Schumer.
Varadkar even spoke about his sexuality at the Naval Observatory.
His comments came as MPs are set to vote on whether to keep the United Kingdom in the European Union longer than planned after Prime Minister Theresa May's authority over Brexit suffered another major blow.
Pence called Varadkar's remarks at Thursday's breakfast "inspiring words".
The breakfast came after a meeting between Pence and the prime minister past year, where Varadkar "raised LGBT+ rights and equality issues", the UK's Independent reported.
Last night, he presented the US President, Donald Trump, with the traditional bowl of shamrock in a ceremony at the White House.