Kobiashvili began his career in hometown club Avaza Tbilisi. His first professional club was Gorda Rustavi where he made his debut in the Umaglesi Liga in 1993. After spending two years with the Rustavi-based club, Kobiashvili moved to Dinamo Tbilisi in 1995. Under the guidance of famous former player and then-Dinamo coach David Kipiani, Kobiashvili became one of the key players of the club.
At the start of the year 1997, Alania Vladikavkaz declared their interest in Georgian midfielder. Dinamo Tbilisi let Kobiashvili leave the club on a season long loan deal. Kobiashvili joined a few of his compatriots there, including Mikheil Ashvetia, Giorgi Gakhokidze and Kakhaber Tskhadadze. He made 21 appearances for the club, scoring five goals in Russian Top League. Kobiashvili played in the UEFA Cup as well, scoring a single goal (against Dnipro Dnipropetrovsk) in four appearances.[8]
Moving to Germany
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.
SC Freiburg finished sixth in the 2000–01 Bundesliga season which granted them a qualification for 2001–02 UEFA Cup. This was the second time the club has ever participated in a UEFA tournament. SC Freiburg were eliminated in the third round by the future champions Feyenoord, on a 3–2 aggregate loss. Kobiashvili played all six games of the club during the tournament, scoring the only goal against the Rotterdam-based club.[9][10] Eventually Freiburg got relegated from Bundesliga.
Kobiashvili decided to stay at the club and helped team to get another promotion to the top tier again during the following season. He scored ten goals for the club.[11]
Schalke 04
During summer 2003, Kobiashvili's contract with Freiburg expired and he decided to leave the club. He received an offer from the future UEFA Cup winners CSKA Moscow.[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. However, Kobiashvili decided to stay in Germany and signed a three-year deal with Schalke 04.[13]
Kobiashvili became the starting member of his new club during the first season. Schalke coach Jupp Heynckes used him as a left-back. Upon the arrival of Ralf Rangnick, Kobiashvili was moved back to midfield, becoming one of the key links between Schalke's defence and attack.[12] Two years after joining the Gelsenkirchen-based team, Kobiashvili extended the contract with the club until 2010. Schalke general manager Rudi Assauer declared that Kobiashvili was one of the best signings they had made in the last decade.[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] Two of them were from penalty kicks.[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.[16]
On 20 December 2009, he announced he would be leaving FC Schalke 04[17] to transfer to Hertha BSC. He joined his new club on 1 January 2010.[18]
Hertha BSC
Kobiashvili completed a move to Hertha BSC in 2010, although the negotiations began a few weeks earlier.[17]
Suspension
During a relegation playoff game against 2. Bundesliga team Fortuna Düsseldorf, Kobiashvili punched referee Wolfgang Stark after the final whistle. Hertha lost the playoff 4–3 on aggregate goals and was relegated from the Bundesliga as a result. Kobiashvili was banned for one year, retroactively beginning 16 May 2012.[19] The German Football Association later reduced Kobiashvili's suspension for seven and a half months, to end 31 December 2012.[20]
In 2011, Kobiashvili became his country's first 100-cap player and received a special award from the UEFA.[22] That game against Greece was the last for Kobiashvili's international career. He is still the most-capped Georgian player. Kobiashvili captained the national team for 16 times and has scored 12 goals during his international career.[23] Two of them were scored in a famous win against Uruguay in 2006.[24] Kobiashvili has also scored the winning goal against Croatia in the UEFA Euro 2012 qualifier in 2011.[25]