In 1995, he was brought back to Torpedo Zaporizhzhia, and after two seasons was sold to the Ukrainian giants Dynamo Kyiv.

In 1998, he was loaned out to FC Cherkasy, and had a good season there, scoring 11 goals in 18 league games.

Kosyrin also spent a year playing in Israel with Maccabi Tel Aviv.

In 2002, he was sold to the newly promoted Chornomorets Odesa, where he finally established himself as a formidable player.

Kosyrin had a good three-year spell with the team, becoming the league leading scorer in the 2004–05 season.