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Superior Court Judge Roberto Longoria did not immediately take up the bail motion.
Sharper's lawyers refused to comment on the other investigations.
If convicted in the California case, Sharper could face more than 30 years in state prison.
Sharper was selected All-Pro six times and chosen for the Pro Bowl five times. He played in two Super Bowls, one with the Packers as a rookie and a second with the Saints.
Poll: Which of these children of famous musicians has made the best music?