Career
Red Star Belgrade
Savićević became a senior-team player at age of 17. Coach Aleksandar Janković decided to promote Savićević to the senior team at the beginning of the 2012-2013 season, and Savićević made his professional debut on 22 September 2012 versus Hajduk Kula. On 21 June 2013, Savićević signed a new four-year contract with Red Star which lasts until 2017.
Slovan Bratislava
On August 7, 2015, Savićević pardoned Red Star Belgrade for €120,000 in unpaid salaries and signed with Slovan Bratislava.
Initially, Savićević represented Montenegro on international level, having been part of the U-17 squad during 2009 and 2010.