The Taoiseach has conceded that his party would be willing to support a Fianna Fáil-led Government under a new confidence and supply agreement.
Leo Varadkar has also said he wouldn't rule out a grand coalition with Micheál Martin's party and others after the next General Election.
However, Mr Varadkar has made it clear that Fine Gael would only consider flipping the current deal which has kept the Government in place, if Fianna Fáil comes back as the largest party.
"We certainly would not entertain a situation whereby we were the largest party in the Dáil and we are then somehow asked to facilitate the second, third and fourth largest parties forming a Government," he said.
On the subject of a grand-coalition which had been raised after the 2016 elections, Mr Varadkar said: "I'm certainly not ruling as any future arrangement with Fianna Fáil, either a Confidence and Supply or a coalition."
At the end of Fine Gael's two-day think-in in Ballycotton, Co Cork, Mr Varadkar said he still expects that his party will return to power after the next General Election.
"When it comes in May 2020 we will be the largest party and as the largest party, we will do what the largest party always does is seek to form of government, ideally a coalition government, with a majority because while Confidence and Supply has worked reasonably well for just over three years now, I think majority government would be better for the country and that's what I want us to be in a position to do," he said.
Appearing on RTÉ's Morning Ireland programme this morning, Mr Varadkar also said that “if the shoe was on the other foot” and Fianna Fáil had the majority after the next general election then Fine Gael would have to consider a Confidence and Supply Agreement.
But Fine Gael’s policies would have to form part of any such agreement.
It comes after Mr Varadkar told party members at the pre-Dáil gathering that he is now "concerned" that when the next General Election comes, the Green Party could be the "Trojan Horse that lets Fianna Fáil back in with Micheál Martin as Taoiseach".
"They’ve done it before. We don’t want to go back to that," he told a private meeting
The Taoiseach expressed confidence that Fine Gael can make gains in a large number of constituencies including Cork East and Cork North West.
"There are up to 12 potential gains, but they're also potential losses as well."
He was joined at the press conference by Tánaiste Simon Coveney who claimed that both he and senator Jerry Buttimer could win seats next time around in Cork South Central.
Mr Coveney said: "There are multiple constituencies in different parts of the country, Tipperary is a good for example, we don't have a TD in Tipperary at the moment and that is something totally unacceptable because it's, it's the kind of constituency where we have a lot of support. So there are lots of constituencies where we will have very proactive campaigns to make games."