Light flyweight (49 kg) Joselito Velázquez Altamirano won his first match of the season to open up the winning evening for Mexico when he stopped the 0-1 Youcef Soltani less than two minutes into their fight.
Mexican Bantamweight (56 kg) Brian González also enjoyed a stoppage win in match number two, although this time it took four rounds for him to finish African Boxing Championships gold medalist Khalil Litim.
1-1 Mexican Light heavyweight (81 kg) Misael Uriel Rodríguez Oliva went one better than García as he won every single round against Azzouz Boudia to make it 4-0 on the night.
Algeria Desert Hawks claimed back a win in the last fight at Heavyweight (91 kg) when Bouziane Houna won on all three scorecards against Daniel Paniagua.
Mexico Guerreros are away to Russian Boxing Team next week, while Algeria Desert Hawks look for their first win of the season in London against British Lionhearts.