An Australian woman convicted of drowning her two young sons at her home south of Edmonton has told a newspaper she is open to having more children.

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Waiting media surround Allyson McConnell (right) and her sister Roslyn Meager as the two arrive in Australia earlier this month. (CBC)

Allyson McConnell, 34, told Australia's Sunday Telegraph she was a good mother and is still trying to get over what happened.

"There have been a lot of things written about me being a bad mother," she told the Sydney paper. "I wasn’t a bad mother, I was actually a very loving mother. But you never hear about that."

"At the moment I'm just trying to get over what has happened. It's been as upsetting for me as much as everyone else involved. I think about them every single day."

Asked if she would like more children in the future, McConnell said, "I wouldn't say no."

Canada deported the woman shortly after her release from a psychiatric hospital on April 4. She lives with her mother in Gosford, a city about 70 kilometres north of Sydney.

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Connor and Jayden McConnell are shown here on a Facebook memorial site.

McConnell served 10 months in custody in Alberta after a Canadian court found her guilty of manslaughter in the death of her sons 10-month-old Jayden and 2½-year-old Connor.

She drowned them in a bathtub in Millet, Alta., sometime between Friday, Jan. 29 and Monday, Feb. 1, 2010.

Edmonton police said she tried to kill herself by jumping off an overpass in the south end of Edmonton an hour before the boys' father found their bodies floating in the tub.

According to divorce documents, Allyson and Curtis McConnell were in the midst of a divorce and custody battle when the boys were killed.