Emerging as a top talent at Cobreloa, Vargas moved to Universidad de Chile where he won three titles, including the 2011 Copa Sudamericana, where he was named player of the tournament.
Apărând ca un talent de top la Cobreloa, Vargas a plecat la Universidad de Chile, unde a câștigat trei titluri, printre care și Copa Sudamericana 2011, unde a fost numit jucător al turneului.