The 30-year-old forward has joined the Iranian top-flight club from Swedish club Hammarby IF.
Sanat Naft, headed by Sohrab Bakhtiarizadeh, sits 15th in the 16-team table in Iran Professional League (IPL).
Trawally started his playing career in 2020 in his homeland club Real de Banjul and has also played in Hangzhou Greentown, Yanbian Funde, Vejle Boldklub, Al-Shabab, and Guizhou Hengfeng.