Address: 1041 S. Fairfax Avenue, Los Angeles, California 90019 Phone Number: (323) 938-8827 -- Welcome to Messob Ethiopian Restaurant, located on Fairfax Avenue in the Little Ethiopia district of Los Angeles, California. Since 1985, we have made it our mission to bring true Ethiopian Style cuisine to the residents and visitors of Los Angeles. Our dishes are all crafted from authentic recipes, full of delicious flavor. We also offer full catering and banquet services and a full bar.