Meiri competed in two swimming events for Israel at the 2000 Summer Olympics in Sydney. He achieved a FINA B-cut of 55.25 (100 m butterfly) from the European Championships in Helsinki. On the sixth day of the Games, Meiri placed thirty-seventh in the 100 m butterfly. Swimming in heat four, he picked up a fourth seed by 63-hundredths of a second behind winner Simão Morgado of Portugal in 55.38. Meiri also teamed up with Eithan Urbach, Tal Stricker, and Yoav Bruck in the 4×100 m medley relay. Swimming a butterfly leg in heat two, Meiri recorded a split of 54.54, but the Israelis settled only for fifth place and seventeenth overall in a final time of 3:43.39.