Major crime detectives on Monday arrested a 51-year-old man and a 50-year-old woman and expected to charge them with assisting an offender in relation to the killing of Geoffrey McLean.
Mr McLean's remains were found in a wheelie bin on a vacant block in the city's north in October last year.
The 55-year-old had been reported missing several weeks earlier.
Only his torso was found in the bin with police still trying to locate his head and limbs.
Detectives previously charged a 51-year-old man and a 49-year-old woman with his murder.
The man was also charged with aggravated assault, aggravated serious criminal trespass and attempted murder with the additional offences related to a number of attacks on Mr McLean in April last year.
The woman was also with aggravated assault, aggravated serious criminal trespass, attempted murder, arson and aggravated cause serious harm, again related to previous attacks on the dead man.
Detective Inspector Mark McEachern previously said investigations were ongoing with a focus on finding the rest of Mr McLean's remains.
He said detectives strongly suspected other people were involved in the dismemberment, removal and storage of the body.
"So further arrests are quite possible," he said earlier this month.
In conjunction with Monday's arrests, police also searched a home at Brahma Lodge, in Adelaide's north.
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