The King Edward VII Hospital denied that its management had been contacted by the radio station.
"Following the hoax call, the radio station did not speak to anyone in the hospital's senior management or anyone at the company that handles our media inquiries," the hospital said in a statement.
It also announced a memorial fund to help support the nurse's family, with the hospital making the first donation.
Saldanha's children and husband, Ben Barboza, on Monday visited the hospital, which said it was offering assistance to the family.
Barboza expressed his sadness on his Facebook page with a short note "Obituary Jacintha."
"I am devastated with the tragic loss of my beloved wife Jacintha in tragic circumstances," he wrote. He said she will be laid to rest in Shirva, India.
Meanwhile, there were indications that the Duchess of Cambridge still struggled with acute morning sickness over the weekend when her husband, Prince William, cancelled a Sunday night engagement.
Palace officials said no final decision had been made on whether Kate would attend Wednesday's British premiere of "The Hobbit," where she and William are to be the guests of honor.
Associated Press writers Jill Lawless, Gregory Katz and Danica Kirka in London contributed to this report.