In June 2002, Bibishkov transferred to Marek Dupnitsa, where he played in his first continental tournament in the UEFA Intertoto Cup.

[16][17] On 6 July 2009, he signed a three-year contract as a free transfer with Romanian team Steaua București.

[18][19][20] During his tenure in București, he participated in the 2009–10 UEFA Europa League where he made his debut for the club against Motherwell F.C.

[24][25] In the summer of 2010, he initially was invited for a trial run with Israeli-side Hapoel Ramat Gan Givatayim.

[26] After an impressive trial, he signed a one-year contract with an option to play in the Israeli premier league.

[37] He re-signed with Marek for the next season but departed during the winter transfer market due to the club's financial troubles.

[38] In the summer of 2016, Bibishkov played in the Southern Ontario-based Canadian Soccer League with the Brantford Galaxy.

[47] In 2020, he returned to Scarborough where he was selected for the squad that faced Vorkuta in the championship final but was defeated by a score of 2–1.

[51] However, the York Region Shooters would defeat the eastern Toronto club in the championship final by a penalty shootout.

[53][54] In 2018, he became involved with SC Real Mississauga and operated as a player-coach after the academy received a franchise in the Canadian Soccer League.