The Taoiseach has said that he wants to begin talks about renewing the Confidence and Supply Agreement sooner rather than later.
Discussions between Fianna Fáil and Fine Gael, to first review the agreement, will get under way next week.
This evening, two of the four TDs who will represent Fianna Fáil at the talks have been confirmed.
They are deputy party leader Dara Calleary and Finance Spokesperson Michael McGrath.
It has been confirmed too that the Fine Gael team will be comprised of Minister for Finance Paschal Donohoe and Tánaiste Simon Coveney as well as Minister for Social Protection Regina Doherty and Deputy Martin Heydon.
This dialogue between the parties is expected take several weeks to complete and the outcome will determine whether or not there will be a general election or if the current Government will stay in place for one more budget.
Speaking in Brussels, Leo Varadkar said Fianna Fáil Leader Micheál Martin speaks very much about carrying out "a review".
Mr Varadkar said he is happy to do this, but the country wants know what its government is going to be for the next couple of years.
Fianna Fáil has consistently said that the review of the agreement must be comprehensive and not a mere box-ticking exercise.
Tánaiste Simon Coveney said he hopes that the Confidence and Supply Agreement talks
will be wrapped up within a month.
Meanwhile, Fianna Fáil's Michael McGrath said: "Fianna Fáil will enter into these talks without preconditions but the party will not be rushed in reviewing this historic agreement."