Since 2011 Murić has been member of the senior men's Slovenian national basketball team.

Murić has played on EuroBasket 2011 in Lithuania.
On 14 September 2011, Slovenia has stopped in quarterfinals by Spain with 86–64.
Slovenia is in victory over Serbia take seventh place and in that match Murić has scored 8 points and had 3 rebounds.
Over 11 tournament games, Murić averaged 2.7 points, 0.5 assists and 2.4 rebounds per game.

Murić has played on EuroBasket 2013 in Slovenia.
Slovenia has take fifth place after victory over Ukraine 69–63 and Murić has scored 9 points and had 4 rebounds.
On FIBA EuroBasket 2013, Murić has played 10 matches and averaged 3.4 points and 2.9 rebounds per game.

On World Cup 2014 in Spain, he has also been a member of Slovenian national basketball team which won seventh place.
On 30 August 2014, in the first game of Group C, Slovenia has played against Australia and won with a score 80–90 and Murić has scored 5 points.
In the first phase of the tournament, Slovenia dominated in the Group D with 4-1 record together with Lithuania.
However, they were stopped in the semifinal game by United States with 76–119 and Edo Murić scored 6 points for almost 10 minutes on the court.
Over 7 tournament games, Murić averaged 3.4 points and 2 rebounds per game on 46.2% shooting from the field and 25% from the three-point line.
Since 2011 Murić has been member of the senior men's Slovenian national basketball team.
Murić has played on EuroBasket 2011 in Lithuania. On 14 September 2011, Slovenia has stopped in quarterfinals by Spain with 86–64. Slovenia is in victory over Serbia take seventh place and in that match Murić has scored 8 points and had 3 rebounds. Over 11 tournament games, Murić averaged 2.7 points, 0.5 assists and 2.4 rebounds per game.
Murić has played on EuroBasket 2013 in Slovenia. Slovenia has take fifth place after victory over Ukraine 69–63 and Murić has scored 9 points and had 4 rebounds. On FIBA EuroBasket 2013, Murić has played 10 matches and averaged 3.4 points and 2.9 rebounds per game.
On World Cup 2014 in Spain, he has also been a member of Slovenian national basketball team which won seventh place. On 30 August 2014, in the first game of Group C, Slovenia has played against Australia and won with a score 80–90 and Murić has scored 5 points. In the first phase of the tournament, Slovenia dominated in the Group D with 4-1 record together with Lithuania. However, they were stopped in the semifinal game by United States with 76–119 and Edo Murić scored 6 points for almost 10 minutes on the court. Over 7 tournament games, Murić averaged 3.4 points and 2 rebounds per game on 46.2% shooting from the field and 25% from the three-point line.
Edo Murić