The couple both want to keep their pooch

Robert Pattinson and Kristen Stewart are reported to be fighting over who will get custody of their pets after Rob moved out of their LA home last week.

Kristen, 22, will keep their cat Max, but Robert is desperate not to lose cross-breed pooch Bear who the Twilight co-stars rescued from a New Orleans animal shelter together.

‘After Rob moved his things out of their Los Angeles home, he then told Kristen he wanted Bear,’ says an insider.

‘She was heartbroken – they adopted Bear together and she always felt that he was their little baby.

‘But Rob was so hurt by Kristen‘s actions he decided that he wants the dog to help him get over what happened. After all, a dog is a man’s best friend and Bear is such a good companion.’

Kristen and Robert, 26, both became devoted to Bear after they helped him through a bout of potentially fatal Parvo disease when he was a puppy.

Before Kristen admitted she’d cheated with married director Rupert Sanders, 41, last week, she and Robert had been considering adopting another mutt together.

‘They were desperate for a play pal for Bear and scoured petfinder.com, as well as a few high-kill shelters in Los Angeles,’ the insider tells RadarOnline.

‘But it seems that’s out of the question now.’

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Anna Duff