Since turning professional in 1988, Hedblom has played mainly on the European Tour, on which he has won three tournaments. His best year-end ranking on the Order of Merit was 29th, in 2008. His first win on the European Tour came in the Moroccan Open, in 1996. He didn’t win on the tour again until 2007, when he was victorious in the Maybank Malaysian Open, which was co-sanctioned with the Asian Tour.
He picked up his third win in 2009, in the Johnnie Walker Championship at Gleneagles. He has also won three tournaments on the Challenge Tour, and represented Sweden in the 1996 Alfred Dunhill Cup.