Rubuta ci gaba don wannan sakin layi - Vereitinov ya cancanci shiga wasanni biyu na iyo a Wasannin Olympics na bazara na 2004 a Athens, ta hanyar share FINA B-cut na 1: 52.55 (200 m freestyle) daga Gasar Turai
a birnin Madrid, a ƙasar Spain. A cikin tseren mita 200 na 'yanci, Vereitinov ya wuce mafi kyawun sa na 1: 51.38 don jagorantar zagayen na uku, amma ya gama ne kawai a matsayi na ashirin da bakwai daga farkon safiya. Ya kuma haɗu tare da Serhiy Fesenko, Serhiy Advena, da Maksym Kokosha a cikin tseren tseren mita 4 × 200. Yin iyo a mataki na uku a zafin jiki na farko, Vereitinov ya rubuta rabuwa na 1: 50.34, amma Ukrainians sun zauna a matsayi na shida da na goma sha biyu gaba ɗaya, a cikin lokaci na ƙarshe na 7: 24.13.