In June Subašić signed a 2-year deal with Turkish club Orduspor, playing in the TFF First League. He played in Orduspor with shirt number 20 for the 2013–14 season. Subašić debuted for Orduspor in the 1st week of the championship in a match against Adanaspor and played 90 minutes also in the 2nd match. He scored his first goal on 15 September in a match against Karşıyaka in the 3rd week; Orduspor won that match and it was the only goal in the game. Subašić became one of the main players of Orduspor and played in the centre forward position in the starting squad in almost all of the games. In the 2013-14 season Subašić made 30 appearances in PTT 1.Lig in which he scored 8 goals. In total he played 34 games in the season and scored 9 goals, thus became the 3rd most scoring player of the team. Orduspor took the 3rd place in PTT 1.Lig in 2013–14 season, however Orduspor lost its play-off matches and could not advance to Turkish Super League.
