Saveljić has a career high ATP singles ranking of 1340 achieved on 13 July 2015. He also has a career high ATP doubles ranking of 1183 achieved on 16 March 2020.
Saveljić represents Montenegro at the Davis Cup, where he has a W/L record of 9–10.
indicates the outcome of the Davis Cup match followed by the score, date, place of event, the zonal classification and its phase, and the court surface.
Rubber outcome
No.
Rubber
Match type (partner if any)
Opponent nation
Opponent player(s)
Score
1–2; 3 May 2012; Carlsberg Bulgarian National Tennis Center, Sofia, Bulgaria; Europe Zone Group III Pool C Round robin; Clay surface
0–3; ; Centro Tennis Cassa di Risaprmio della Repubblica di San Marino, City of San Marino, San Marino; Europe Zone Group III Pool A Round robin; Clay surface
2–1; ; Centro Tennis Cassa di Risaprmio della Repubblica di San Marino, City of San Marino, San Marino; Europe Zone Group III Pool A Round robin; Clay surface
1–1; ; Centro Tennis Cassa di Risaprmio della Repubblica di San Marino, City of San Marino, San Marino; Europe Zone Group III 5th-8th Playoff; Clay surface
3–0; 16 July 2015; Centro Tennis Cassa di Risaprmio della Repubblica di San Marino, City of San Marino, San Marino; Europe Zone Group III Pool B Round robin; Clay surface
0–3; 17 July 2015; Centro Tennis Cassa di Risaprmio della Repubblica di San Marino, City of San Marino, San Marino; Europe Zone Group III Pool B Round robin; Clay surface
2–1; 18 July 2015; Centro Tennis Cassa di Risaprmio della Repubblica di San Marino, City of San Marino, San Marino; Europe Zone Group III 5th-8th Playoff; Clay surface