Cubans currently only need to set foot on U.S. soil to gain entry.
Nearly 200 Cuban migrants who recently arrived in southern Mexico after being stranded several months in Costa Rica began making plans to travel to the border with the United States.
Guzmán's extradition to face charges in the United States was discussed on Tuesday at a meeting in Miami between Arely Gómez, Mexico's attorney general, and Justice officials.
Of the nearly 105,000 guns seized by Mexican authorities and submitted for tracing from 2009 to 2014, 70% came from the U.S., according to a draft report from the Government Accountability Office (GAO).
The U.S. authorities want him for crimes in their jurisdiction.
Carstens added that economic growth in Mexico would likely pick up this year, as long as the U.S. economy continued to gain steam.
The U.S. President said demographic changes combined with the "economic stresses" people have been feeling because of the financial crisis, technology and globalization have made life harder for those who rely on a steady paycheck.
About 5 percent of Americans nationwide have experienced some kind of identity theft.
An analysis by National School Safety and Security Services found a 158% increase in the number of threats schools received in a five-month span in 2014 compared with the same period the previous year.
A total of 10,588 unaccompanied children crossed the U.S.-Mexico border in October and November, compared with 5,129 who crossed during the same two months last year.