Taoiseach Enda Kenny and Tanáiste Eamon Gilmore have both said they are confident differences over abortion legislation can be bridged and the heads of the bill brought to Cabinet.
Mr Gilmore said it was no secret that differences within Government arose from time to time, but they had a good record in overcoming such differences.
He said the parameters of the legislation were well-known, and the Government's objective was to provide certainty and safety for women in pregnancy, and he was confident they will do so.
Meanwhile, UCD Professor of Psychiatry Patricia Casey has said a survey of psychiatrists has shown that a majority do not believe that abortion is a treatment for suicidal ideation.
Speaking on RTÉ's Morning Ireland, she said the survey was undertaken because of concerns among psychiatrists about the proposals to legislate for the X Case.
Prof Casey said: "I'm speaking here on behalf of the nearly 90% of psychiatrists who believe that this is not mandated by any evidence."
She said: "I am not consoled, as a psychiatrist, by being asked to participate in a process that has no evidence base and that may harm some women."
Prof Casey was part of a group of psychiatrists that presented the findings of the survey to TDs yesterday.
The survey of more than 300 psychiatrists, 127 of whom responded, found 113 agreed that they have deep concerns about legislating for the X Case.