Shushila suffered a defeat against South Africa's Michaela Whitebooi by a Waza-Ari at the Coventry Arena Judo Mat 2 and had to settle for a silver medal.
In the first match of the fixture, Satwiksairaj Rankireddy and Chirag Shetty win the Men's Doubles contest as India are 1-0 ahead in the semifinal tie against Singapore.
Hussamuddin, who had outlasted South Africa's Amzolele Dyeyi 5-0 round of 32, also won his pre-quarterfinal bout by unanimous decision after a fantastic tactical display.
Amit advanced to the quarterfinals via a unanimous decision as all five judges decided in his favour. He will take on Scotland's Lennon Mulligan in the quarter-finals on August 4