On 9 May 2009, Minev and his twin brother Yordan entered in the history of The Eternal Derby. The situation was even more interesting, because Veselin was a left full-back and his brother Yordan was a right midfielder, and Veselin guarded his brother Yordan. Despite the tackles, after a foul against Veselin, Yordan came to him and call the referee.
On 30 May 2011, Minev signed a three-year deal with Turkish club Antalyaspor for an undisclosed fee.[2] He left the club in early December 2012 for personal reasons.
Botev Plovdiv
On 12 December 2012, immediately following the appointment of Stanimir Stoilov as head coach, Minev signed a 1.5-year contract (with the option for an additional year) with his former club Botev Plovdiv.[3] Minev was among the first choice defenders during his time with the "canaries", captaining the team on occasions. His last game for the club was the 4:0 home victory against Libertas in the first qualifying round for UEFA Europa League on 3 July 2014.[4]
Levski Sofia
In July 2014 Minev's contract with Botev was terminated due to the financial problems that occurred in the club. On 7 July 2014 he returned to Levski signing a new 1+1 year deal with the club.[5] He was released in June 2017.[6]
Etar
On 16 June 2017, Minev signed a 1-year contract with newly promoted Etar Veliko Tarnovo.[7]
On 28 August 2009, Minev received his first international call-up for the World Qualifier match against Montenegro.[10] He remained an unused substitute for the game.
On 10 October 2009, he made his debut for the national side in the 1:4 away loss to Cyprus, playing the full 90 minutes of the game.[11] Minev was a starter for Bulgaria during the first two 2014 World Cup qualifiers, but in October 2012 he received a two-match ban for his involvement in a number of incidents during the ill-tempered match against Armenia.[12]
Later and coaching career
In January 2021, Minew returned to Hebar Pazardzhik as a youth coach.[13] He left the position in April 2021 to join his former teammate, Zhivko Milanov, as assistant manager at Levski Sofia. After Milanov was released in September 2021, Minew also left his position.[14] A week later, Minev came out of retirement to play for Vihren Sandanski.[15] He played for the club for the rest of the season.
At the end of May 2022, Minew was appointed assistant manager of FC Arda Kardzhali.[16]