He currently plays for Sportivo Luqueno, wearing the number 34 shirt. He plays primarily as a Defender. He stands at 184cm tall and weighs 79kg.

Throughout the Paraguayan Primera Division 2026, Álvaro Matías Martínez Cubilla featured in 6 matches, averaging 1.3 tackles, 0.8 interceptions, and 1 clearances per game, while blocking 0 shots per game.