Hosseini started the campaign with a 25-16 win over Chinese Zhao Shuai in the men’s under-68 kg.
He defeated Seok-Bae Kim from South Korea 19-16 before defeating Jordan’s Ahmad Abughaush (30-27) and Briton Bradly Sinden (19-16).
Hosseini lost to South Korean Lee Dae-hoon 11-7 in the final match.
The competition is the last event before next month's World Taekwondo Finals in Fujairah in the United Arab Emirates.
Top competitors are awarded ranking points towards the World Taekwondo world ranking which could help them quality for the 2020 Olympic Games in Tokyo.