Al-Jiboori was born on August 1, 1997.[1] Al-Jiboori grew up in Tulsa, Oklahoma,[2] and attended Union High School.[1] Al-Jiboori played American football throughout his youth, earned a college football scholarship, and aspired to play in the NFL.[2] However, Al-Jiboori began playing rugby at the age of 16, after watching an older brother play the game.[2] Ultimately, he would decline his football scholarship offer and leave Tulsa to attend Lindenwood University and play for the school's rugby teams.[2][1] He was named Division 1-A Player of the Week on January 26, 2016 for his performances against Saint Mary's and Santa Clara.[3] During the summer of 2016, Al-Jiboori spent time training with Super Rugby's Brumbies.[2]
In 2016, it was announced that Al-Jiboori had been selected for the USA Selects roster for the 2016 Americas Pacific Challenge.[6] Al-Jiboori made his first start for the Selects on October 12, 2016, playing at flanker, in the Selects' 47–37 victory over Canada.[7]
Al-Jiboori made his debut with the USA Eagles on February 17, 2018, appearing as a substitute in the Eagles' 45–13 victory over Chile in the 2018 Americas Rugby Championship.[8][9]
Al-Jiboori made his debut for the United States men's national rugby sevens team at the 2016 Singapore Sevens tournament.[1] As of September 2018[update], Al-Jiboori has competed in 31 total matches for the Eagles in 7s, having scored his first two tries for the Eagles during the 2017–18 World Rugby Sevens Series.[10]
In addition to his international appearances representing the United States, Al-Jiboori has played club rugby for the Denver Barbarians[1] and Bulldog Rugby.[11]
Malon Al-Jiboori has a younger brother, Tyren Al-Jiboori, who also plays rugby and competed for the United States at the 2018 Summer Youth Olympics.[15] Their older brother, Michael Al-Jiboori, has also played rugby for the Denver Barbarians.[16]