Norway scored a late equaliser to deny new England women's head coach Mark Sampson a winning start to his tenure.
Former Bristol boss Sampson replaced the sacked Hope Powell in December.
Chelsea forward Eniola Aluko got her new boss off to a great start in the friendly against the Euro 2013 runners-up when she fired in an early opener.
England's Lianne Sanderson had a header saved before Melissa Bjanesoy headed in from a corner with three minutes left to pull Norway level in La Manga.
"There were lots of positives in the performance," said Sampson.
"To play against a strong side and show those qualities, I was very pleased."
Boston Breakers striker Sanderson was making her first appearance since a three-year absence following a fall-out with Powell, but she missed from close range after debutant Demi Stokes's left-wing cross.
England goalkeeper Karen Bardsley had earlier pulled off decent saves either side of the break to deny Elise Thorsnes and Kristine Minde.