Another tape showed images of former presidential candidate Ingrid Betancourt, abducted in 2002.
The three U.S. contractors were abducted by the Revolutionary Armed Forces of Colombia, or FARC, in 2003 when their plane crashed.
Betancourt was taken hostage the previous year. There has been little evidence of their survival since then.
El Tiempo reported the dates of the videos were Jan. 1 and October of this year.
FARC, Colombia's largest rebel group, has been fighting government forces for more than 40 years.