In the round of 16 match against Switzerland, Milevskyi was one of the three Ukrainian penalty takers who scored in the shootout which followed a 0–0 draw after extra time (while repeating the Panenka trick, which backfired domestically on 26 October 2008, in a league match against Tavriya Simferopol). Ukraine won the shootout 3–0, but ended their 2006 World Cup campaign with a 3–0 loss to eventual champions Italy in the quarter-finals.