Luis Calderon was wanted for aggravated kidnapping and attempted murder.
Officials said the victim, Diane Sanchez, was found in a "horrific condition" on the night of July 4, 1991, by good Samaritan Earl Peugh.
Lt. Tommy Hansen described the moment as an "act of God" because Sanchez was left on a dead-end road way at 1 a.m., but Peugh happened to turn around in the area after experiencing vehicle troubles.
Sanchez was then transported to UTMB where she was able to recover from her injuries.
Within about a day, Calderon was booked into Galveston County Jail. At a later time, his bond was reduced, and when he left the jail, he wasn't seen again until about one week ago.
Hansen says Calderon was found in El Salvador, where his family is originally from.
WATCH: Galveston Co. Sheriff's Office announces arrest 29 years after woman left for dead
Fugitive arrested 29 years after attempted murder