For the 2009–10, Koman was loaned to Bari. He scored his first Serie A goal against Palermo in a 4–2 win on 30 January 2010, making him the first Hungarian player to score in the Italian top flight in 15 years. He finished the season with two goals in 16 appearances.
Koman re-joined Sampdoria for the 2010–11 season, becoming a regular member of the squad. In the 2010–11 UEFA Europa League, he assisted a goal against PSV, and scored his first goal against Metalist Kharkiv in the 32nd minute of a Europa League match. Koman was appointed as a captain against Debrecen in the last round of the 2010–11 Europa League.
Monaco
On 31 January 2012, Koman joined Monaco on a four-and-a-half-year contract.[3][4] His contract with Sampdoria was set to expire in May 2012. On 15 April, Koman was interviewed after the victory against Metz; he iterated he is expecting his first goal and enjoyed playing in Ligue 2.[5] However, after 17 matches, he left the club for Russian Premier League side Krasnodar.
Krasnodar
In June 2012, Koman signed a contract with Krasnodar. On 23 July, he made his Premier League debut against Rubin Kazan, a 2–1 victory. He scored his first goal against Volga Nizhny Novgorod in a 1–1 away draw. On 1 July 2014, Krasnodar and Koman mutually terminated their contract, making Koman a free agent.[6][7]
On 12 November 2014, Koman was named by American digital media company Bleacher Report as one of the most notable free agents available for the 2014–15 season, along with Víctor Valdés and Simão.[12]
FC Ural (on loan)
Due to lack of playing time with Krasnodar, in the 2013 summer transfer window, Koman was loaned out to fellow Russian league club Ural Sverdlosk Oblast. He made his debut on 16 September 2013 against Dynamo Moscow, where he played the full match.[13] On 15 May 2014, he scored his first goal in the 2013–14 Russian Premier League season on the 30th matchday against Volga Nizhny Novgorod, in the 45th minute. The match was won by Ural.[14]
Diósgyőr
On 4 February 2015, Koman joined Hungarian League side Diósgyőr.[15][16] On 1 August 2015, he scored his first goal for Diósgyőr in the 2015–16 Nemzeti Bajnokság I match in a 2–1 defeat against title-holders Videoton at the DVTK Stadion, Miskolc. He scored the goal from a penalty kick in the ninth minute.[17] On 12 December 2015, he scored his second goal of the season against Békéscsaba 1912 Előre at the DVTK Stadion in the 61st minute.[18]
Koman was named to the Hungary senior team by head coach Erwin Koeman for the friendlies against Germany and the Netherlands in late May and early June 2010 respectively. He made his senior debut against Germany on 29 May 2010. Koman scored his first international goal against Moldova at the Szusza Ferenc Stadium in a UEFA Euro 2012 qualifying match,[23] where Hungary won 2–1. He scored his second goal against San Marino at the Ferenc Puskás Stadium in another Euro 2012 qualifier.[24] On 7 June 2011, Koman scored his third goal in Euro 2012 qualifying, again against San Marino.[25] Hungary won the match 3–0 away in Serravalle, San Marino. He scored the first goal of the four against Iceland at the Ferenc Stadium, a 4–0 victory.[26]