The South American Franchise remain rooted at the bottom of Group B, while a second win in a row improved the chances of the Azeri team to qualify.
2-1 Argentine Light flyweight (49 kg) Junior Zarate won the first fight for Argentina as he dropped just one round en route to a decisive win over 0-3 Magomed Ibiyev.
An all-out Azeri assault began in fight number two, when 3-0 fifth ranked Bantamweight (56 kg) Magomed Gurbanov comfortably dispatched of 0-1 Ignacio Perrin on points.
The Baku Fires then took the lead after 3-1 WSB veteran Light welterweight (64 kg) Gaybatulla Gadzhialiyev widely outpointed Leandro Amitrano.
2-1 Middleweight (75 kg) Mikalai Vesialou secured the win for Azerbaijan as he survived a late onslaught from Condors debutant Sergio Alberto Lebensztajn to claim victory.
Powerful 3-0 Azeri Heavyweight (91 kg) Abdulkadir Abdullayev made it 4-1 on the night for his team with a crushing win against Diego Blanche.
Azerbaijan Baku Fires travel to Italia Thunder next week, while Argentina Condors seek victory at the eighth attempt away to USA Knockouts.