	Szöllősi initially went to a sports school where he practiced football. Later he switched to water polo and even participated in the students' national championship. He first tried handball when he was in the eighth grade and since then it has been his only sport. Szöllősi learned the basics of handball by Békéscsabai BDSK (2003–2005) and was soon spotted by major domestic teams, including KC Veszprém, of whom offer he accepted in 2005.