Career
His highest singles ranking is 119, which was reached on May 14, 2012. 2009
Veić received a wild card for Zagreb Indoors and caused an upset as he beat ex-Top 10 player Guillermo Cañas 4–6, 6–4, 6–2. Betfair started a private investigation immediately after the match following bets in total amount of $2M being placed on the Croat despite him being considered a huge underdog before the match.
He issued a brief statement calling the allegations "ridiculous and unfounded".
Veić continued his successful run following a 3–6, 7–6, 6–4 victory over Evgeny Korolev. lieutenant came to an end after he lost to fellow Croat Marin Čilić 6–2, 7–6.
2010
Veic qualified for the 2010 Australian Open Men"s Singles draw, where he beat Daniel Köllerer of Austria 6–4, 3–6, 6–7, 6–1, 6–4. He fell to Gaël Monfils 6–4, 6–4, 6–4.
Singles: 5 (1–4).