British prosecutors are considering whether two Australian radio hosts committed any offences during a hoax call to the hospital treating Prince William's wife Catherine, after which a nurse died in an apparent suicide.

The 2Day FM presenters Mel Greig and Michael Christian pretended to be Queen Elizabeth and Prince Charles in a call the hospital where Catherine was being treated for acute morning sickness.

One of the nurses who was fooled by the hoax call, Jacintha Saldanha, committed suicide several days later.

Scotland Yard has sent a file to prosecutors to decide whether any offences were committed.

Ms Saldanha, 46, was found dead on December 7 in her lodgings at King Edward VII's hospital in central London.

"Following the death of Jacintha Saldanha, officers have liaised with the Crown Prosecution Service as to whether any criminal offences had been committed in relation to the hoax call made to King Edward VII Hospital in the early hours of Tuesday 4 December," Scotland Yard said in a statement.

"On Wednesday 19 December officers submitted a file to the Crown Prosecution Service for them to consider whether any potential offences may have been committed by making the hoax call."

At Ms Saldanha's funeral in India on Monday, her widower Benedict Barboza and the couple's two children said in a statement that British police were investigating the tragedy "and they have assured us of a full and fair investigation."

Earlier this month New South Wales police confirmed they had been contacted by the London Metropolitan Police about the hoax.

"They simply wanted to touch base, raise the issues, make us aware of them," Deputy Commissioner Nick Kaldas said.

"It may be that they may wish to speak to someone at the station at a point down the track."

On Saturday Southern Cross Austereo chief executive Rhys Holleran said the two presenters involved were "shattered" by Ms Saldanha's death, but was confident the law had not been breached.

Sydney University law professor Barbara McDonald says the radio code requires consent before conversations are broadcast.

"New South Wales has a surveillance devices act which says that a person mustn't record a private conversation - and a private conversation in NSW includes a conversation to which they are a party," she said.

"So you're not able to record a conversation that you're having with someone else without their consent."

The call caused an international scandal and the fall-out forced 2Day FM to suspend its advertising and take the presenters - and their program - off the air.

The Australian Communications and Media Authority has opened an investigation into the radio station behind the prank.

2Day FM has pledged to donate at least $500,000 to a memorial fund for Ms Saldanha's family.

AFP