As a club player Siti has won all major continental trophies, including three EHF Cup, an EHF Cup Winners' Cup and an EHF Champions League title. Siti made her international debut on 25 November 1994 against Macedonia, and her first major tournament was the 1995 World Women's Handball Championship, where the Hungarian team won the silver medals after falling short against South Korea in the final. At the 1996 Summer Olympics in Atlanta she won a bronze medal with the Hungarian team, after losing for South Korea in the semi final, and winning the bronze final against Norway. In 1996 she also competed at the European Championships. At the 1998 European Women's Handball Championship in the Netherlands, she won a bronze medal with the Hungarian team. She participated at the 1999 World Championship where Hungary placed fifth. In the 2000 season she won a silver medal at the Summer Olympics in Sydney, after playing the final against Denmark. She competed at the 2000 European Women's Handball Championship, where the Hungarian team won gold medals ahead of Ukraine and Russia.