Galović had previously represented Italy where he was raised but in 2014 switched back to his home country of Croatia.

Galović made his ATP main draw singles debut at the 2014 Bet-at-home Cup Kitzbühel where he qualified for the main draw, defeating Philipp Davydenko, Lukáš Dlouhý and Antonio Veić en route.

Galović had his grass debut in Stuttgart where he lost in the second round of qualifications to Denis Kudla.

[5] His second match was played in Osijek, Croatia in the First Round of 2018 Davis Cup World Group against Canada.

[6] Galović was on the list of the Croatian players in the quarter-final of 2018 Davis Cup against Kazakhstan but was unused by captain Željko Krajan.