Career
Slavkov began his career as a youth player with Trakia Stamboliyski, before joining Trakia Plovdiv in 1974. Slavkov scored 61 goals in 112 games for Trakia between 1976 and 1982. With CSKA Sofia he played between 1982 and 1986, scoring 48 goals.
Then he was transferred to the French club AS Saint-Étienne.
He finished his career in Portugal in 1992. In his career Slavkov participated in 4 Plovdiv Derby matches, scoring one goal, as well as 7 Eternal Derby encounters, netting once.
Slavkov died suddenly on January 21, 2014 in Plovdiv after suffering a heart attack at the age of 55.