Born in England, Roebuck, 55, covered the test series between South Africa and Australia when he died at the Southern Sun Hotel in Cape Town.
South African police said he had jumped out of the sixth floor window after arresting two policemen who had arrested him for alleged sexual assault by a Zimbabwean.
But his family has never accepted the account and his employer, Australian Fairfax Media, said the death investigations would begin again.
"There are many questions about the circumstances of his death that need to be verified," said family lawyer George van Niekerk in Fairfax.
"The reopened survey will hopefully ensure that all unresolved issues are fully broken down."
David Hood, an English lawyer who had previously represented Roebuck, said in a statement to The Mail on Britain on Sunday: "It is important for all internationally recognized justice systems that justice is not just done, but is seen as such. "
"This could never have happened with the death of Peter Roebuck, unless and until the circumstances of his death were examined at a legally convened hearing held in public with witnesses. witnesses called and interrogated under oath, "he added.
Roebuck's family was not invited to an in camera hearing in Cape Town in 2013, which confirmed the police's account of the events. Since then, they have been seeking to have the decision annulled.
Fairfax, who had been employing Roebuck since 1984, had previously claimed that the family had been denied access to the forensic evidence collected at the hotel, as well as to the police report and to the fingerprint of the window.
They believe that fingerprints must be produced to prove that he opened the window while he doubted that he could have done it and that he was jumping in the presence of the officers. Roebuck, a former Somerset captain, played 335 first-class matches before embarking on a career in sports.
He was considered by many to be the best cricket writer of his generation thanks to his direct and intelligent prose that drew the crowds.
He also commented regularly for the Australian Broadcasting Corporation.