The tragic woman's husband Praveen says he received no help from the Indian authorities because it was a bank holiday in his native country.
The heartbroken engineer told friends and family that he is returning to Galway as he desperately bids to find answers.
Ms Halappanavar's father also told media in India that they will work to change Irish laws on abortion.
"At least from now on, nobody should die like my daughter.
"Abortion laws should be changed in Ireland and such countries.
"I hope the ongoing discussions will help change them," retired engineer Andaneppa Sangappa Yalagi told The Times of India (TOI).
"We were in Ireland for three months and left for India on October 22 to be here for Dasara [Savita's brother].
"She was healthy and came to the airport to drop us. She only had back pain. I can't believe she is dead,'' he said.
Savita died from septicaemia on October 28 after allegedly being told by doctors that she couldn't have an abortion because "this is a Catholic country".
Her heartbroken husband Praveen has travelled back from India and is expected to meet with HSE and Government officials.
Speaking to the media in India, the 34-year-old said: "The prime minister [Enda Kenny] has given an assurance and the issue has been discussed in the Irish parliament.
"The investigation is being done by an independent agency."
Savita's brother, Sanjeev Yalagi, spoke to the Bangalore Mirror where he questioned if religion played a role in his sister's death.
"Is religion bigger than humanity? My sister begged to be saved. But, the doctors waited for three days and it resulted in my sister's death.
If she were in India, which other advanced countries consider not so advanced, she could have easily been saved. Here, when the baby cannot be saved, efforts are made to save the mother, it is high time we realise the importance of life".
Grieving widowerPraveen said the family never imagined it would be such a tragedy.
"We thought she would be fine," he said.
In Savita's final conversation with her husband, she asked him to make sure her parents had arrived back in India safely following the visit.
It's emerged that the couple had already chosen the name 'Prasa' -- a combination of Praveen and Savita -- for their baby.