He began his career in Fortuna Covaci, but just some months later he changed to play for FC Auxerre Lugoj (Liga II). Then he joined FCM UTA Arad in 2005, playing three times in his first season and five times in the following one, in Liga I. He then was sent on loan to CS Ineu, and then returned to UTA Arad in early 2008 playing regularly with the side. In late 2008 he joined AS Monaco FC for an unsuccessful trial, and then left to join FC Dinamo Bucureşti later in March 2009.
He made his debut on 29 October 2009, playing the first half in a Serie A game ended in a 3–5 away loss to Inter. After playing a Coppa Italia home game against Reggina, he was again featured in the Italian Serie A on 30 January 2010 as a replacement for injured Federico Balzaretti in an away game versus Bari. Melinte's performance was then verbally criticized by club chairman Maurizio Zamparini after the Romanian caused a penalty (then scored) with the game being 2–2, and then making a mistake that was instrumental in Bari's fourth goal. Two days later, he was sent out on loan to Serie B club Piacenza in switch with Marco Calderoni.
He returned at Palermo at the end of his loan spell, but no interested party was found and he was subsequently excluded from the first team. On 31 August 2011 he moved on loan to Petrolul Ploiești. On the 3 July 2012, he was loaned to the other team from Ploieşti, Astra, until the end of the season.