Family Reunification Act of 2010 - Amends the Immigration and Nationality Act to revise the eligibility criteria for V-visa nonimmigrants (spouses and minor children of lawful permanent residents who come to the United States to wait for completion of the immigrant visa process) to: (1) replace the current petition filing date of on or before the date of the enactment of the Legal Immigration Family Equity Act with a filing deadline of December 21, 2010; (2) require that such petition has been pending for more than 540 days (3 years under current law); and (3) require that for an approved petition, more than 540 days (3 years under current law) have elapsed since the petition's filing and no visa is available or the petition remains pending.