The Taoiseach Leo Varadkar has continued to rule out the possibility of a coalition with Sinn Féin.
Mr Varadkar said Fine Gael's "big problem" is Sinn Féin's stance on the Special Criminal Court.
“Key policy decisions made in Sinn Féin are not made by elected representatives, it's made by an Ard Comháirle, and we just don’t think that’s proper in a democratic society.
"And we also have a big problem with their position on the Special Criminal Court.
He added: "We're seeing a spate of terrible violence in the last couple of weeks around the country which has shocked the nation and has worried a lot of parents and for Sinn Féin to say they're getting rid of the Special Criminal Court is a step too far for us."
The Taoiseach's comments come in the wake of a new Business Post/Red C poll showing support rising for Mary Lou McDonald's party.
The poll of 1,000 voters taken over seven days up to last Thursday indicates that Fine Gael is on 23% and Sinn Féin is on 19%.
This marks a drop of seven points for the main government party and a surge of eight points for Sinn Féin.
Today's poll also found that Fianna Fáil and Sinn Féin are trusted more than Fine Gael on health and housing.
It revealed that Fianna Fáil's support is on 26%.
The party has also ruled out forming a potential coalition with Sinn Féin after next month's General Election.
While Mr Varadkar has said he would be willing to work with Fianna Fáil, this has been ruled out by Micheál Martin.
