His daughters have pressed for details about their father’s medication.
What is the investigation centred on?
Some 30 police officers raided 39-year-old Dr Luque’s house on Sunday morning – with another 30 going into his clinic in the capital Buenos Aires.
The raids were ordered by prosecutors trying to build a picture of Maradona’s last days at home.
There are suspicions that the star’s convalescence at home might not have met the conditions of his discharge from the clinic, such as a 24-hour team of nurses “specialised in substance abuse”, the on-call presence of doctors and a stand-by ambulance equipped with a defibrillator.
Officials want to know how often Dr Luque went to see Maradona at his house.
What is Dr Luque’s line of defence?
In an emotional press conference on Sunday, Dr Luque – who has been described as the footballer’s personal physician – cried, saying he had done all he could to save the life of a friend. He said Maradona had been very sad lately.
At one point, the doctor shot back at reporters: “You want to know what I am responsible for? For having loved him, for having taken care of him, for having extended his life, for having improved it to the end.”
The doctor said he had done “everything he could, up to the impossible”.
Then addressing some of the concerns authorities are looking into, Dr Luque cast doubt on what his role actually was. ”If you ask me, I’m a neurosurgeon and my job ended. I was done with him,” he said referring to November’s surgery – and insisting Maradona’s convalescence at home was not his responsibility.