The Liverpool puncher defended his WBA title with a 10th-round stoppage of American Ronny Rios (above) in his home city on Saturday night.
Ball, 27, floored Rios three times on the way to a comfortable victory at the M&S Bank Arena.
The Scouse scrapper won the WBA belt with a points win over Ray Ford in Saudi Arabia last June. It followed a controversial draw with WBC title-holder Vargas in the same country just months earlier.
Many felt Ball was the worthy winner of that bout and now he wants to right the wrong in a unification fight with the Mexican.
He said: "That's the fight I want, that's the one people are talking about.
"When they speak about my fights, they always say I was robbed in that one.
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