Arguments were heard Tuesday over a court order calling for the bodies to be returned to Qunu; the case was adjourned until Wednesday.
Meanwhile, police said criminal charges of "tampering with a grave" have been pressed against Mandla Mandela over the exhumation of the three bodies.
"A case is opened at the police station and we will now investigate that case," said police Lt. Col. Mzukisi Fatyela, who declined to reveal who pressed the charges.
Nelson Mandela was taken to a Pretoria hospital on June 8 for a recurring lung infection. Since then, there has been a groundswell of concern in South Africa and around the world for the man who spent 27 years as a prisoner under apartheid and then emerged to negotiate an end to white racist rule before becoming president.
Authorities also announced that former President F.W. de Klerk, who shared the 1993 Nobel Peace Prize with Mandela, was fitted with a pacemaker on Tuesday. De Klerk is the last leader of South Africa's apartheid era and freed Mandela from prison before going on to serve as his deputy president.
A Cape Town-based foundation named after 77-year-old de Klerk said the former president felt dizzy after returning home on Sunday from a trip to Europe, following several such spells of dizziness in recent weeks.
It said de Klerk was "doing fine" after the pacemaker was successfully implanted and that de Klerk, in line with standard procedure, was staying in the hospital overnight.
South Africa President Jacob Zuma released a statement wishing the former leader a speedy recovery.
On Saturday, the foundation issued a statement on behalf of de Klerk and his wife, Elita, saying they had decided to suspend a working visit and vacation in Europe because Mandela is critically ill, and that they were praying for an improvement in the health of the anti-apartheid leader.
De Klerk, a former education minister who had backed segregated schooling, was a key figure in a delicate transition that turned out to be relatively peaceful despite fears of widespread racial conflict. AP Photo CPN102, JOH101, XTM104, MSC109, MSC107, MSC103