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Djokovic will face 75th-ranked Dutch player Botic van de Zandschulp in the next round.
The fourth seed, who also won his first-round match by the same scoreline, said his longer off-season has benefited him, noting that he felt positive on court despite not playing a warm-up tournament.
In cooler conditions at Melbourne Park, Djokovic dominated early, taking a 5-2 lead in the opening set and closing it in 47 minutes. He continued to control the match, breaking Maestrelli at the start of the second set and cruising into the third round.
Djokovic, who is chasing a record 25th Grand Slam title, revealed that he draws comfort from hugging a Brazilian fig tree in the nearby botanical gardens. He described the tree as his “oldest friend” in Melbourne, saying their bond has lasted over 20 years and that nature is a “powerful ally.”
Djokovic remains tied with Margaret Court on 24 major titles and aims to surpass the record as he continues his campaign at the Australian Open.