[3][4] Bassam's father, Hisham Ali Al-Rawi, played for the Iraq national football team in the 1990s.

[6] Bassam made his appearance for Qatar in a 0-1 loss to Czech Republic in Abdullah bin Khalifa Stadium.

He was included in Félix Sánchez Bas' Qatari squad for the 2019 AFC Asian Cup in the United Arab Emirates.

On 22 January, he scored his second international and the winning goal for Qatar against his country of origin, Iraq, which helped his team reach the quarter-finals of the competition.

[11] On 1 February 2019, the AFC Disciplinary and Ethics Committee dismissed the protest lodged by the United Arab Emirates Football Association.