Ukraine are favourites to progress after holding Greece to a 0-0 draw in their World Cup playoff first leg on Saturday.
Both teams passed up good chances to score but it was the visitors who created the most opportunities and they will feel they have the advantage for Wednesday's return leg in Donetsk.
Theofanis Gekas passed up Greece''s best chance with a first-half header while Ruslan Rotan was guilty of missing Ukraine''s clearest opening when he dragged a shot wide.
Liverpool defender Sotiris Kyrgiakos could have won the match for Greece in the dying seconds but he flashed a header wide.
