The aide said Duterte, set to be sworn into office on June 30 after a landslide election victory yesterday, signalled his readiness to discuss the release of a number of imprisoned rebels, a key factor in the breakdown of peace negotiations three years ago.
Incumbent leader Benigno Aquino ended talks with the Communist Party of the Philippines in 2013 over the rebels' demand for the unconditional release of their detained comrades that his government was unwilling to grant.
Lavina suggested the new government would not be averse to releasing detained rebels so they could take part in the talks, and allow ailing ones get treatment outside of prison.
"It is important to release political prisoners suffering from ailments," Lavina said.
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Duterte, a hardline mayor accused of running vigilante death squads that have killed more than a thousand crime suspects in Davao, is a friend of Netherlands-based Jose Maria Sison, who set up the communist party in 1968.
At the start of the campaign in February, Sison said in a video interview with the Philippine Daily Inquirer newspaper that the rebels were pleased all the would-be Aquino successors backed peace talks.
Sison claimed Duterte, his student in a political science subject at a Manila university in the 1960s, would consider a "coalition" as long as the communists disarmed.
Running for almost half a century, the communist insurgency has claimed 30,000 lives, according to military estimates.