During his career, Levan played for Gorda Rustavi, Dinamo Tbilisi, Alania Vladikavkaz and three German clubs: SC Freiburg, Schalke 04 and Hertha BSC.

Kobiashvili joined a few of his compatriots there, including Mikheil Ashvetia, Giorgi Gakhokidze and Kakhaber Tskhadadze.

[8] After spending a half season on a loan at SC Freiburg, Kobi signed a deal with the German club in 1998.

During his spell with the Breisgau-Brasilianer ("Breisgau Brazilians"), Kobiashvili became one of the key players of Volker Finke's system.

He was joined some Georgian players in Germany as well, Alexander Iashvili and Levan Tskitishvili his teammates in Freiburg.

[12] The coach of the Russian team, Valeri Gazzaev, was interested in signing the Georgian midfielder with whom he worked in Alania five years earlier.

Upon the arrival of Ralf Rangnick, Kobiashvili was moved back to midfield, becoming one of the key links between Schalke's defence and attack.

[14] One of the best games of Kobiashvili's career came against PSV Eindhoven in 2005–06 UEFA Champions League season where he scored a hat-trick.

[15] After the game he was praised by the manager Ralf Rangnick and teammate Frank Rost, who labeled Kobiashvili as a true professional, who was an example for them.

[12] Later this season, Schalke moved to the UEFA Cup, where the team reached semi-finals and lost to the eventual champions FC Sevilla.

Bundesliga team Fortuna Düsseldorf, Kobiashvili punched referee Wolfgang Stark after the final whistle.

[25] Kobiashvili has declared once that the national team was the top priority for him and he dreamed of playing at the FIFA World Cup or a UEFA European Championship.

[27] Kobiashvili and his fund, called Kobi and Friends donated 10,000 GEL in support of the victims of Tbilisi flood in 2015.