After the breakup of Yugoslavia, in 1991–1992, the original senior Yugoslavian national basketball team was dissolved. Bosnia and Herzegovina (Bosnian and Herzegovina NT), Croatia (Croatian NT), Macedonia (Macedonian NT) (later known as North Macedonia), and Slovenia (Slovenia) then formed their own senior national teams. While the then remaining and smaller Yugoslavia (originally known as FR Yugoslavia, and later as Serbia and Montenegro) formed its own senior national team.
That senior national team was originally named either "Yugoslavia national basketball team", or "FR Yugoslavia national basketball team", from 1992 until 2003, after the country's name at the time. In 2003, after the country was renamed from FR Yugoslavia to Serbia and Montenegro, the team was also renamed to "Serbia and Montenegro national basketball team". After Serbia and Montenegro split up, in 2006, and became the independent countries of Serbia and Montenegro, they each formed their own successor national teams. The senior Serbian national basketball team's first appearance at a major FIBA competition was at the 2007 EuroBasket. While the senior Montenegrin national basketball team's first appearance at a major FIBA event was at the 2011 EuroBasket.
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Federal Republic of Yugoslavia (FR Yugoslavia) national basketball team: 1992–2003
Serbia and Montenegro national basketball team: 2003–2006