Bleckur first appeared at the 2004 Junior World Championships in Stryn, Norway at a major event. She finished seventh in the mass start race over 15 kilometers, 27th in the freestyle race over five kilometers and sixth with the Swedish relay. She ran her first World Cup race in November 2004 in Gällivare , which she finished classically with 70th place over 10 km. Since 2006, she has mainly participated in the Scandinavian Cup , which she finished in fifth place overall in the 2006/07 season. She got her first World Cup points in December 2007 in Kuusamo with 25th place in the sprint. In 2010 and 2011 she was third in the Wasalauf . In November 2012 she finished in Gällivare with second place in the relay, her first and only podium in the World Cup. At the Nordic World Ski Championships in 2013 in Val di Fiemme , she finished 34th in the 15 km skiathlon and 18th in the 30 km mass start race. She made her first top ten placement in a World Cup individual race in March 2014 in Oslo with ninth place in the 30 km mass start race. In December 2014 she achieved her best place in an individual race in Davos with fifth place over 10 km classic. At the Nordic World Ski Championships in 2015 in Falun , she won silver in the relay and was fifth in the skiathlon over 2 × 7.5 kilometers and in the mass start race. After the 2014/15 season, she ended her career.
Participation in world championships
2013 Val di Fiemme : 18th place, 30 km classic mass start, 34th place, 15 km skiathlon
2015 Falun : 2nd place relay, 5th place 15 km skiathlon, 5th place 30 km classic mass start