Career
He currently plays as a goalkeeper for Egersunds IK. His first club was Football Club Vekta. Kunchev made his debut in professional football as a 17-year-old for Lokomotiv Plovdiv. He signed with Levski Sofia in 2014, but was released after making only a few appearances for the team following a goalkeeping mistake made in a match against Beroe.
In January, 2010, the Bulgarian national under-21 coach Mihail Madanski called Kunchev in the Bulgaria national under-21 football team for the friendly tournament Albena Cup.
