Markič contested his first FIS races in September 2001 , and in March 2003 he was among the top ten for the first time. Two months before that, he achieved two top 10 places in the Super-G and in the slalom at the European Youth Olympic Festival 2003 in Bled . In February 2004 he took part in a junior world championship for the first time in Maribor . His best result was 18th place in the downhill. At the Junior World Championships 2005 in Bardonecchia , after failures in the downhill and slalom, the 28th place in the giant slalom was his best result, but at the Junior World Championship in Québec in 2006 he won the silver medal in the Super-G behind the Austrian Michael Sablatnik . With eighth place in the downhill he achieved another top 10 result. At the Slovenian Junior Championships in the same year he won the title in the combined classification with second places in the downhill, slalom and giant slalom.
Markič had his first starts in the European Cup in March 2004, but he only picked up the first points on December 4, 2008 with ninth place in the Super-G on the Reiteralm . On February 12, 2009 he achieved his first podium in the European Cup with second place in the downhill from Sarntal / Reinswald . The Slovenian made his debut in the World Cup on January 16, 2009 in the super combination of Wengen , where he failed in the downhill. Even in his second World Cup race, the super combined in Sestriere , he did not finish. After another three World Cup descents at the end of the 2008/09 season and at the beginning of the 2009/10 season , in which he crossed the finish line but not in the points, he took 29th place in the super combination of on December 4, 2009 Beaver Creek his first World Cup points. After that he was unable to score again for over a year until he surprisingly finished twelfth on January 29, 2011 in the downhill from Chamonix-Mont-Blanc . Two weeks later he finished 30th in the Downhill World Championship 2011 in Garmisch-Partenkirchen .