Mohmadi emerged victorious over China’s Chengwu Wang, Venezuela’s Luis Avendaño and Georgian Achiko Bolkvadze but lost to Alan Ostaev (AIN) 2-1 in the final bout of 87kg.
Iran has sent four Greco-Roman wrestlers to the competition.
The Ranking Series event started on January 10 in Zagreb, Croatia with Freestyle, followed by Women's Wrestling, and end with Greco-Roman.