Hussamuddin, the reigning national champion, defeated Bulgaria's Dushko Blagovestov to make the last-four stage of the men's competition.
Among the women, Meena Kumari got the better of Singapore's Efasha Kamarudin to assure herself of a medal.
However, it was curtains for the experienced Manoj Kumar (69kg), who went down to Merven Clair of Mauritius in the quarterfinals.
Also bowing out of the last-eight stage were Thomas Meitei Myangbem (64kg), Gaurav (91kg) and Deepak Singh (52kg).
More From This Section
Deepak was defeated by local favourite Daniel Asenov.
In the women's competition, Preeti Benwal (60kg) and Monica Saun (75kg) also signed off early from the event following opening losses.
Preeti was beaten by Belarus' Galina Bruyevich, while Monica lost to Chinese Taipei's Nien-Chin.