Up against Mongolia's Tulga Tumur Ochir, Bajrang was trailing 0-2 till the final moments of the 65kg final but managed to level the scores, 30 seconds from the whistle.
The Wrestling Federation of India (WFI) confirmed that he will travel to Belgrade on 14 December along with the men's freestyle squad.
Besides wrestlers Narsingh Yadav and Gurpreet Singh, physiotherapist Vishal Rai has also tested positive for the deadly virus.
While the month-long wrestling camp for the male grapplers will be held at SAI Sonepat, the women will train at the nodal sports body's Lucknow centre.
Wrestlers Sumit, Satyawart Kadiyan, Ravinder confirm South Asian Games berths with gold in senior national championships
Railways dominated the proceedings as Sumit and Satyawart Kadiyan won a gold medal each in the Senior National Wrestling Championships in Jalandhar on Friday to clinch their berths in the upcoming South Asian Games.
Deepak Punia reveals overcoming shoulder injury to win gold in Junior World Wrestling Championships, end India's 18-year wait
Deepak Punia was so determined to break India's 18-year-old medal drought at the Worlds and realise his family dream that he risked aggravating a shoulder injury sustained during the semi-final.
Bajrang Punia defends 65 kg title at Tbilisi Grand Prix; Vinesh Phogat reaches fourth final at Medved
India's top two wrestlers continued their impressive run this season with Bajrang Punia defending his title at Tbilisi Grand Prix and Vinesh Phogat reaching her fourth final at Medved event.