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The 25-year-old, who will make his second appearance at the ATP Finals, defeated Australia's Alexei Popyrin 7-6(3), 6-3 in the opening round of the Vienna Open.
The Swiss great said he has faced no setbacks and is recovering well.
Djokovic was left in tears after his taxing bid -- both physically and emotionally -- to become the first man since 1969 to win the year's four Grand Slam ended in a surprisingly one-sided loss to Russian second seed Daniil Medvedev.
Djokovic's bid for a record 21st major title that would have completed the calendar-year Grand Slam collapsed at the final hurdle.
He will face Russian Daniil Medvedev in Sunday's final.
Alcaraz became the youngest male player to reach the fourth round of a Grand Slam since 17-year-old Andrei Medvedev at 1992 Roland Garros.
Medvedev was top seed and favourite to take the title but was beaten for the first time by Rublev after crashing into an on-court camera and knocking it to the ground while chasing the ball at the baseline in the second set.
Federer will miss the upcoming US Open because he needs more knee surgery, an operation that the Swiss great said will give him a "glimmer of hope" that he can resume his glittering career.
Veteran paddler A Sharath Kamal turned back the clock to make the next round and fencer C A Bhavani Devi showed some spark in her debut but India's Olympic campaign on day 3 of the competitions was littered with disappointments.
Nagal, who had beaten Uzbekistan's Denis Istomin in the opening round, went down 6-2, 6-1 to the second seed in just over an hour.