It was the third time the actress, who was also studying biomedicine, had undergone liposuction.
Concerns were also raised when it emerged that her death at the Green Hill Hospital in Sao Paulo was not registered until 10 days later.
Pamela Baris do Nascimento’s aunt reported the case to police in Ipiranga, in the city’s Zona Sul.
The lawyer acting for the family told Brazilian press he believed Pamela do Nascimento’s death may have been caused by medical malpractice.
He added Júlio César Yoshimura, the surgeon who carried out the operation, could face manslaughter charges.
Officers investigating the death will ask authorities to exhume her body for tests.
Pamela Baris do Nascimento, 27, who was originally from Santa Catarina in southern Brazil, had been living in Sao Paulo. She was raised by her aunt after her mother died when she was six.
The presenter had appeared on TV programmes including Brazilian variety show O Melhor do Brasil.
Evandro Luiz de Melo Lemos, the officer responsible for the case, said: “Everything suggests that the procedure was correct. But normally, in the case of an accident, it should have been reported to the police.”
In a statement, the hospital said it had launched an internal inquiry.
It said Dr. Júlio César Yoshimuro was licensed to practice and had rented operating rooms at the private clinic.
“The hospital provided all the necessary resources for the adequate treatment of Pamela Baris Nascimento. However, it is with great sadness that this occurred,” the statement said.
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