Alcaraz will play either Zhang Zhizhen of China or Italy’s Luca Nardi next.
Earlier, seventh-seeded Grigor Dimitrov lost 6-4, 6-4 to Jiri Lehecka.
Also on Monday, eighth-seeded Jack Draper beat Alexei Popyrin 6-2, 7-6 (4) to set up a meeting with another Australian, Christopher O’Connell.
Several other top players will play their first matches on Tuesday.
Second-seeded Alex de Minaur will face Roman Safiullin. Novak Djokovic, who had to pull out of his Australian Open semifinal with a hamstring injury, will take on Matteo Berrettini.
Daniil Medvedev, Andrey Rublev and Stefano Tsitsipas will also play on Tuesday.
