The next season, with the departure of Mosquera, Konko scored his first goal for the club, in a 4–1 win over Real Zaragoza on 12 September 2009. Several weeks later, in the Champions League, Konko scored his first goal in a 4–1 win over Rangers. However, during the match, Konko made controversy when he fouled Steven Naismith in the penalty box but wasn't given. A penalty denial was criticised by Rangers manager Walter Smith. Like last season, Konko injuries was back after suffering a recurrent hip adductor injury, playing less often in the season. On 8 May 2010, Konko received a red, after a second bookable offence, in a 3–2 defeat to La Liga Champion Barcelona and miss the last game of the season.