Sweden is in Stavanger to play a double international match against Norway as the start of the recharging before the World Cup in Finland in a month.
The goals shone with their absence until the 13th minute in the second period, when Sweden played powerplay.
Two Norwegian goals in third
Sebastian Hartmann got the puck to a completely free Lucas Wallmark at the far post who had no problem getting the puck behind Örebro goalkeeper Jonas Arntzen.
Norway equalized after 6.05 in the third period, also a goal in numerical superiority that was scored by Viktor Granholm.
Swedish goal with the goalkeeper selected
Just over five minutes later, Norway increased to 2-1 when Thomas Valkvæ Olsen, free in front of Oscar Dansk, put the puck in the net.
The Swedish equalizer came with 2.5 minutes left of the match, when Tre Kronor just took out the goalkeeper.
Calle Själin passed to Joakim Nordström's goal.
Old and young
1.17 into extra time, Christian Rogne Bull put 3-2 for Norway on a volley shot.
Tre Kronor's national team captain Johan Garpenlöv has in his squad for the Norway matches taken out a mixture of old and young players - all from teams that have been eliminated in the SHL playoffs and KHL.
It is noteworthy that Per Svensson, 33, made his national team debut.
Sweden and Norway meet again on Thursday and then meet for the third time in the World Cup group stage in Finland in a month.