[6] In 1982 her father, Harold Blum Mejía, was killed by the rebel forces FARC-EP which prompted most of her family to leave the country, she however chose to stay and continue her political aspirations.

Among the most important laws she authored or sponsored as a Senator in Colombia are: the reform to allow the application of extradition as an international cooperation tool against organized crime; the new criminal code; the law for the pursuit and expropriation of assets originating from illicit activities; the Justice and Peace legislation, which defines instruments for the demobilization of members of illegally armed groups within the principles of truth, justice and reparation to victims; the anti-corruption Statute, which has allowed for a more effective penalization of abuses against public administration; the reform that included in the Constitution the possibility of a one-time Presidential reelection,[10] which in turn led to the reelection of Álvaro Uribe Vélez; the national strategy law for the fight against human trafficking.

She also organized political debates on the state of education in the country, on actions to improve the attention given to victims of forced displacement due to violence, and on assessments to strengthen the electoral system in Colombia.

As President of the Senate, she led initiatives aimed at increasing public information on legislative work and citizen participation in the process of evaluating laws.

She was sworn in as Permanent Representative of Colombia to the United Nations on 28 August 2006, by President Uribe[8][11] and presented her Letter of Credence to UN Secretary-General Kofi Annan on 11 September 2006.