Andrew Little said the result of the Irish referendum indicated that attitudes and values towards abortion were changing.
Her death in October 2012 reignited a fierce debate over abortion in Ireland and ultimately led to the campaign for a referendum. She was 17 weeks pregnant at the time, and had asked medics for a termination when her medical situation became apparent.
Yet increasing pressure from within her own party could force the PM to act with Anne Milton, the UK Education Minister, suggesting she would back liberalisation if there were a free vote.
Although not on the ballot paper, the "No" camp sought to seize on government plans to allow abortions with no restriction up to 12 weeks into a pregnancy if the referendum is carried, calling it a step too far for most voters.
"Poll after poll has shown in the north, much like it did in the south, that between 62-72% people in every one of the polls is in favour of a change to the law", she said. In an interview with the Irish Times from their home in Belgaum, Karnataka in southwest India, they said: "We are really, really happy". "The agony and sorrow are still persistent in our hearts after six years".
"I hope that the people of Ireland will remember the fate of ..."
"I feel very emotional", she said.
Savita's case appears to have played a big part in influencing the outcome of the vote.
Savita's mother Akkamahadevi added: "It is also a win for Kitty Holland (the journalist who broke the story of Savita's death) who took up the mission and created awareness among the Irish people on the unnatural law".
If the Yes vote is confirmed, the Irish Government intends to legislate by the end of the year to make it relatively easy for a woman to obtain the procedure in early pregnancy.
Just a day after 66% of voters backed abortion reform, people were leaving flowers and heartfelt messages at an impromptu shrine for Mrs Halappanvar in Dublin.
He said that for future priests, this rediscovery begins in formation and that seminaries must be harmonious, prayerful, generous and caring places and warn that divisiveness and narcissism are never the signs of the Holy Spirit.
"We believe this is going to be a springboard for the movement in Northern Ireland", 27-year-old Claire told Agence France-Presse, without giving her last name due to the sensitivity of the issue in the British-ruled territory.
Ireland's push to liberalise its laws is in contrast to another traditionally Catholic European country, Poland, where the ruling conservative party and still powerful church are seeking to ban most abortions.
In the Sunday Independent, Jody Corcoran said the big pro-choice vote "maximises to a visceral, guttural roar what must amount to be a demand to end decades of hypocrisy and shame". "I wasn't lucky enough to have a daughter", he wrote.
The repeal of the abortion ban is not automatic. The referendum states that abortions should only be performed when the mother's life is in immediate danger, as fetuses have an "equal" right to life.
"The people have spoken", Mr. Varadkar said following Friday's vote.