 That year, Buljubasich won the keeping a penalty off in the penalty kick-out; he was one of the best players of the Copa Sudamericana of that year.In 2006, in the second semester the doctors of Universidad Católica found a tumour on "Tati"'s brain; he missed the rest of the 2006 season; but anyhow the operation was successfully done and he was allowed to play on the 2007-08 season.On December 30, 2008 José Marías Buljubasich leaves Universidad Católica because he could not reach an agreement with the directives of the Club.