[1] He represented his nation Georgia in two editions of the Olympic Games (2000 and 2004), and later claimed three career medals at the European Championships.

Modebadze made his official debut at the 2000 Summer Olympics in Sydney, where he competed in the men's super heavyweight division (130 kg).

He eclipsed Greece's Efstathios Topalidis on his opening bout with a striking effort, but could not pin Iranian wrestler and 1999 world champion Abbas Jadidi into the ring without collecting a single point.

Finishing second in the prelim pool and tenth in the overall rankings, Modebadze fell short to earn a spot for the quarterfinals.

[3] Modebadze managed to score a single triumph over Hungary's Ottó Aubéli with a five-point advantage, but he was thrown powerfully by Russian wrestler and 1997 world champion Kuramagomed Kuramagomedov in overtime to end his Olympic campaign with a second-place effort in the prelim pool and fourteenth in the overall rankings.