Career
Early career
Milev played for the youth teams of Spartak Plovdiv and Civil Engineering Premià before joining Botev Plovdiv. Botev Plovdiv
= 2013-2014 Milev participated in 25 games for Botev Plovdiv U19 team and scored 13 goals. = 2014-2015 Milev was promoted to Botev Plovdiv U21 team
Soon after that, on 6 September 2014, he signed his first professional contact with Botev Plovdiv.
Milev played his first official game for the first team this season on 23 September 2014. Ten days later Milev came on as a substitute again.
This time he was involved in A Grupa game but even his appearances was unable to prevent the 0-1 loss from CSKA Sofia. He replaced Lazar Marin and played for a few minutes at the end of game.
A week later, on 23 May, Nasko Milev replaced Filip Filipov in the 90th minute of the 1-2 away defeat from Beroe Stara Zagora.
= 2015-2016 Nasko Milev missed the start of season 2015-2016 due to an injury. On 12 September he played in the final minutes during the 0-2 home loss from Litex Lovech. On 28 February, Nasko Milev came on as a substitute and in the 89 minute he scored his first ever goal in an official game during the 2-2 draw with PFC Pirin Blagoevgrad.
On 6 March 2016, Nasko Milev was included in the starting line-up of Botev Plovdiv for the 1-1 away draw with Beroe Stara Zagora.