Softić last played for Kolding FC in Denmark. He started his career with Cork City FC in Ireland in 2003, having moved there from his native country Bosnia and Herzegovina.
Admir had a successful time with Cork City's youth teams and that caught the eye of the senior manager who signed Admir as a full time pro at the age of 17.
He made a handful of appearances for the first team during his time at Cork, which included 3 Champions League qualifier games against Apollon Limassol and Red Star Belgrade respectively. Admir only made a sub appearance against Apollon in Cyprus, while he played full 90 minutes against Red Star in both legs of the qualifiers.
Admir also won the FAI Cup '07 with Cork and lost two Cup finals (FAI Cup '04 and Setanta Cup '06) during his time there. In 2008, after Alan Mathews arrived as the new manager of Cork City, things didn't look well for Admir. He only made 1 appearance in the League Cup against Cobh Ramblers and put in a transfer request in mid-July.
Admir left the club after 5 years and joined one of the biggest clubs in his native country, FK Željezničar in Sarajevo, but in the first month after arriving, he had a horrific injury, breaking his ankle in 2 places and was sidelined for the next 5 months.
He came back after the injury and finally made his debut in March 2009 away to FK Sloboda. After the season, he parted ways with the club and moved to Denmark where he was playing for Kolding FC, until January 2010.
On the 28th of February 2010, Softic lined-out for Cork City FC in a pre-season match against Crosshaven FC.
He also holds Irish citizenship, so he can play as comunitarian in any EU country.