Union calls for immediate reinstatement of NFL's Peterson (Reuters) - The NFL players union on Monday asked the National Football League to immediately reinstate Adrian Peterson, the Minnesota Vikings running back who pleaded guilty last week in a child abuse case involving his son. A statement by the NFL Players Association said an agreement with the league in September called for Peterson to be removed from the commissioner's exempt list once his case was settled. Peterson, a former NFL Most Valuable Player, pleaded no contest last Tuesday in a Conroe, Texas, court to a misdemeanor charge of reckless assault for hitting his 4-year-old son in May with a "switch," a thin tree branch removed of its leaves. As part of the deal, Peterson avoided jail time and instead was ordered to pay a $4,000 fine, court costs and 80 hours of community service. After the plea agreement, the NFL said it would review the case under its Personal Conduct Policy and offered no timetable for a decision on when, or if, Peterson would be removed from the exempt list. The NFL said Monday it had no comment on the NFLPA's comments. When a player is placed on the commissioner's exempt list, he cannot play but will receive his full salary, in Peterson's case, $11.75 million. Peterson has played in only one game this season.