Almosawi has presented over twenty-eight solo exhibitions internationally, including in Baghdad, Montreal, Rabat, Dubai, London, Kuwait, and Toronto. His practice encompasses painting, monumental charcoal works, mural-scale installations, printmaking, and public art commissions. Across media, he is recognized for his sustained investigation into geometry, symbolic form, and the expressive potential of reduction, particularly in his large scale black & white charcoal works.

He was the recipient of the Outstanding Artist Award in Quebec and completed a residency at the Banff Centre for Arts and Creativity in Canada, in addition to participation at the Aseelah Art Center in Morocco. Earlier in his career, he contributed to the critical discourse of modern Arab art as a published art critic.