Koby Mandell Act of 2001 - Directs the Attorney General to establish within the Department of Justice an office to: (1) monitor acts of international terrorism alleged to have been committed by Palestinians or individuals acting on behalf of Palestinian organizations; (2) collect and offer rewards for information against individuals alleged to have committed such acts; (3) negotiate with the Palestinian Authority or related entities to obtain financial compensation for U.S. nationals or their families injured or killed by such terrorist acts; (4) establish and implement alternative methods to apprehend, indict, prosecute, and convict individuals who commit such acts; (5) contact victims' families and provide updates on the progress to apprehend, indict, prosecute, and convict the individuals who commit such acts; and (6) provide for the permanent stationing of an appropriate number of U.S. officials in Israel, in territory administered by Israel and by the Palestinian Authority, and elsewhere.