Restitution for Local Government Act of 2010 - Amends the Emergency Economic Stabilization Act of 2008 (EESA) to require any profit made by the Secretary of the Treasury under the Troubled Asset Relief Program (TARP) to be used to purchase from local governments any securities, bonds, and other financial instruments issued by Lehman Brothers Holding, Inc. that were held by such governments on September 12, 2008. Limits the aggregate amount of all such purchases to $1.7 billion. Prohibits the purchase of financial instruments held by a pension fund.