A woman dubbed the "Ice Killer" by the Austrian media has confessed in court to murdering two men and setting their sawn-up body parts in cement in the cellar of her ice cream parlour.

At times breaking into tears, Goidsargi Estibaliz Carranza Zabala, who has joint Spanish-Mexican citizenship, told the hearing in Vienna on Monday how she shot and sliced up with a chain saw her ex-husband in 2008 and then in 2010 her new partner.

"I never thought I would be able to go through with it" ... Goidsargi Estibaliz Carranza Zabala. Credit:AFP

At first freezing the body parts in the apartment that also served as a store room for the ice cream parlour, she concealed them in chunks of concrete that she mixed up in the cellar of her "Schleckeria" shop in the Austrian capital.

The grisly remains were discovered by chance during maintenance work in June 2011. After going on the run to Italy, Carranza was captured several days afterwards and later extradited.