Nurse Saldanha took the call from DJs Mel Greig and Michael Christian, and transferred them to the Duchess of Cambridge's nurse, who gave them an update on Kate's condition.
Mrs Saldanha, 46, a mother of two teenaged children, was found dead on Friday 7 December, in her lodgings near the King Edward VII Hospital in London.
The DJs, from Sydney based 2Day FM, said they are 'gutted and heartbroken' over Ms Saldanha's death.
Greig told Australian TV she remembers the moment she was told Ms Saldanha had died, saying:
"Fortunately I remember that moment very well because I haven't stopped thinking about it since it happened. I remember my first question was 'Was she a mother?'
She also said her thoughts were with Ms Saldanha's family, adding:
"I wanted to just reach out to them and to give them a big hug and say sorry. Not a minute goes by that we don't think about the family and what they are going through, and the thought we may have played a part is gut-wrenching."
Michael Christian added: "I just hope that they get the love, the support, the care that they need.
"It was something that was just fun and light-hearted and a tragic turn of events no one could have predicted or expected.
We are shattered, heartbroken and our deepest sympathy goes to the family, friends and all those people affected. Mel and myself are incredibly sorry for the situation and what's happened.
Mum-of-two Ms Saldanha, 46, received the call from Greig and Christian. They put on British accents and pretended to be the Queen and Prince Charles.
In a statement, the radio station's owner, Southern Cross Austero Media, said it had suspended advertising on 2Day FM adding:
"Several attempts were made by the production team to discuss the segment with the hospital, but with no success. The segment was referred to an internal review process which included internal legal review and authorisation was granted to broadcast.
"The company does not consider that the broadcast of the segment has breached any relevant law, regulation or code. The company will fully co-operate with any investigations."
Ms Saldanha's husband, Ben Barboza, posted a tribute to his wife on Facebook, saying:
"I am devastated with the tragic loss of my beloved wife Jacintha in tragic circumstances. She will be laid to rest in Shirva, India."