Saina, seeded seventh, took just 31 minutes to dispose off Perminova 21-11 21-9. The Indian had earlier got a bye in the first round.
She will next play the winner of the match between 13th seed Sayaka Takahashi of Japan and Bulgaria's Petya Nedelcheva.
Another Indian in the fray in women's singles, 11th seed P V Sindhu will take on Russia's Olga Golovanova in the second round tomorrow after she too got a bye in the opening round.
Jayaram will next face Thai shuttler Tanongsak Saensomboonsuk, who defeated Scotland's Kieran Merrilees 21-16 21-17 in his opening round.
However, it turned out to be a disappointing outing for Commonwealth Games gold medallist Parupalli Kashyap as he crashed out in the first round of the men's singles event after suffering a shocking defeat against Dieter Domke of Germany last night.
The world number 27 Indian, who had clinched the biggest title of his career at Glasgow early this month, played his heart out before going down fighting 24-26 21-13 18-21 in a nerve-wrecking battle of attrition which lasted an hour and seven minutes.
