Yasmin Chaudhry, 26, killed the one-year-old girl by plunging her into a bucket of water during a 3:00 a.m. Skype video call with her British partner.
The mother said she had just wanted to discipline her baby for waking up and “disobeying her”.
The little girl was unconscious when the paramedics arrived and was pronounced dead the next day, in October 2010.
Yasmin Chaudhry was initially arrested on suspicion of negligence because of inconsistencies in the stories she gave to police and the paramedics, but is now facing a preliminary charge of murder.
“This has been a long investigation and she eventually admitted it to us in October 2011,” said Norwegian police prosecutor Kristin Rusdal.
“She said it was done to discipline the child. She had been holding her under water.
“She had discussed the discipline with this friend, with whom she had a relationship. They met online and had met in person only once.”
Both of them deny wanting to kill the baby.
The British man has not yet been named because his name does not appear in any of the court documents published in Norway.
Kristin Rusdal confirmed a preliminary murder charge had been filed against the British man and said police were discussing extradition.
Officers from Oslo flew to UK just before Christmas to question the boyfriend with the help of Scotland Yard.
“We could issue a formal request to the British authorities to see if they wan to investigate the case, but because it is so closely tied to our investigation we would like to see them together,” said Kristin Rusdal.
Yasmin Chaudhry’s five-year-old son was taken into care following the horrific episode in October 2010.
Yesterday, Yasmin Chaudhry was remanded until February 4.
The baby’s father now lives in Pakistan after splitting with the mother.
Yasmin Chaudhry’s lawyer said: “He is, of course, very shocked.”
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