However, Divya Tomar (44kg), Nandini Salokhe (51kg) and Pooja Devi (67kg) failed to make it to the medal round.
Manju, competing in 59kg, started her campaign off with a dominating 5-1 victory over Bulgaria's Aleksandrina Nikolaeva Kashinova in the 1/8 stage but was outclassed 0-10 by Japan's Yuzuru Kumano in her quarterfinal bout.
However, with the Japanese girl advancing to the final, Manju got another life in the form of repechage and she did not waste the opportunity.
Tomar, meanwhile, missed out on a place in the bronze- medal round of 44kg after losing her repechage bout to Fatme Ibraimova Mandeva of Bulgaria 2-2 narrowly.
Last night, Deepak Punia failed to finish on the podium after going down to Gadzhimurad Magomedsaidov of Azerbaijan in the bronze-medal match of men's 84kg freestyle.