Ortio agreed to terms Wednesday on a one-year deal with Skelleftea AIK of the Swedish Hockey, Roger Millions of Sportsnet Calgary reports.
Ortio will not be receiving a qualifying offer from the Flames, making him a free agent, James Mirtle of TSN reports.
Ortio saved 24 of 27 shots in Thursday's 7-3 victory over Vancouver.
Ortio will start in goal for the team's home finale Thursday against Vancouver, Roger Millions of Sportsnet Calgary reports.
Ortio allowed five goals on 26 shots in a 5-4 loss to the Kings on Tuesday.
Ortio gets the starting nod against the Kings on Tuesday, Aaron Vickers of NHL.com reports.
Since he was in the starter's net at morning skate, Ortio is expected to be in the crease Saturday night, taking on the Oilers in Edmonton, Derek Willis of Sportsnet 960 The FAN reports.
Ortio landed back in the loss column Thursday after allowing three goals on 29 shots in a shutout defeat at the hands of the Kings.
Ortio will start between the pipes Thursday against the Kings, Pat Steinberg of Sportsnet 960 The FAN reports.
Ortio stopped 22 shots in a 5-2 win against Arizona on Monday.