A tall defender, Ghulam was a member of the victorious squad in the 2000 AFC Youth Championship.
In 2001, Jassim was surprisingly brought into the 2002 World Cup qualifying squad by Adnan Hamad after the sacking of Milan Zivadinovic, but he was not called into the final squad until Sadiq Saadoun and Sabah Jeayer were not fit enough to travel to Kazakhstan, making his debut in the 4–2 win over Nepal.
In 2007 Ghulam played all 6 matches with Iraq national team to win the Asian cup for the first time in history.
He played a big role in defence alongside Ali Rehema, Bassim Abbas and Haidar Abdul-Amir.
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