Sablić made his debut for Croatia in an April 2002 friendly match against Bosnia and Herzegovina, coming on as a 79th-minute substitute for Boris Živković , and earned a total of 5 caps, scoring no goals.

[1] In October 2012 Sablić started as assistant coach at RNK Split under manager Zoran Vulić.

[7] During January 2017, Sablić was named the new manager of Bosnian Premier League club Široki Brijeg.

[11] In his first game as Sarajevo manager, Sablić's team drew against Moldovan club Milsami Orhei in a UEFA Europa Conference League qualifying round on 8 July 2021.

[12] His first loss as the club's manager was an unexpected one in the second leg game against Milsami a week later on 15 July, thus knocking out Sarajevo only in the first qualifying round of the Europa Conference League.

[15] On 27 December 2021, he terminated his contract with Sarajevo and left the club, following a half season of very mixed results.

[16] In August 2022, Sablić was employed as the head of the U-14 to U-19 teams at Hajduk Split's youth academy.