In 2007, Kovalev sparked controversy when he allegedly criticized his team, coaching staff and the Montreal media in an interview with a Russian reporter in his native language. Though the reporter who conducted the interview later rescinded Kovalev's quotes, and the tape she used never surfaced, a majority of the fans and members of the media believe the criticism to have actually happened. This story was especially controversial due to the poor performance by Kovalev in the 2006–07 season, amassing only 18 goals, 29 assists for a total of 47 points.