In 2003 Siskauskas helped his country to take gold in European Basketball Championship in Sweden. It was also a very successful personal performance by him as he got an award from NBA legend Larry Bird.
There was one competition that Ramunas Siskauskas decided to miss and take a rest. He didn't join the team for 2006 World Championship in Japan where Lithuania finished 7th.
Last year Siska helped the national team to bring Eurobasket bronze from Spain. Apparently it was his last medal won playing for Lithuania.