Bellucci, seeded third, reached the quarterfinals in an ATP Tour event for the second time this season. He is coming off a five-set loss to Jan Hernych in the second round of the Australian Open and will meet Fabio Fognini in the quarterfinals.
Fognini rallied to defeat Albert Ramos-Vinolas 3-6, 7-5, 6-4.
Gonzalez surprised second-seeded Juan Monaco in the first round.
In the other half of the draw, No. 1 seed David Nalbandian will face Horacio Zeballos in a second-round match Thursday.