He is, reports "Early Show" national correspondent Hattie Kauffman, defying orders to stay put in Mexico.
Images of Beresford-Redman in L.A. have been appearing in the media.
He's the sole suspect in the killing of his wife, Monica Beresford-Redman.
Kauffman says it's still unclear how he got to L.A. -- Mexican authorities say they still have his passport.
"We don't know at this point how he got back into the U.S.," notes CBS News legal analyst Lisa Bloom, "whether it was by land, by sea or by air. He's supposed to have a passport."
CBS News has learned his departure from Mexico came just as authorities there were seeking to interrogate him. The final toxicology results in Monica's death had just been completed. She was found strangled and dumped in a septic tank at a resort in Cancun on April 8.
"This investigation seems to have been reaching a critical juncture just at the time Beresford-Redman chose to leave," Bloom points out.
The couple had gone to Cancun to work on their marriage, Kauffman says.
And now, a battle is brewing over custody of their two children.
Beresford-Redman's attorney says he returned to California to be with his kids, and they were seen with him Monday.
But Monica's sisters have asked the courts to give them guardianship. In a statement, they expressed shock at their brother-in-law's return, and fear that he might flee again, this time with the children.
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