 His first games for Brøndby was in the middle of the club's biggest crisis, fighting against relegation, and Randrup did not impress greatly.However, in the second half of the 2007–2008 season, with former Danish international Thomas Rytter demoted to the reserves, Randrup established himself as first choice for right back, and became an immediate fan- and media favourite after strong performances in the opening games.On 22 March 2008, Randrup was called up for the national team for a friendly game against the Czech Republic, where he came on as a substitute after 60 minutes, thus receiving his first cap.