The pair were spotted enjoying a cosy lunch at five-star Casa Del Mar hotel last week. Elizabeth and Shane parted ways last month after it emerged the Australian cricket star had been sending lewd text messages to another woman while he was romancing the 45-year-old actress.
Doing little to hide their affection for one another, the couple were described by onlookers as "lovestruck teenagers".
A fellow hotel guest told the Daily Mirror newspaper: "They looked very taken with each other. They were stroking each other's faces and were very tactile. It was quite sweet to watch and they seem to care for each other very much.
"They were very happy, like two teenagers."
After flying back to London last week, Elizabeth admitted her trip to Los Angeles had given her the opportunity to indulge in a little "monkey business".
Writing on her twitter page, she said: "Goodbye to LA-great trip. I've been here on business-some of it monkey. (sic)"
Meanwhile, 41-year-old Shane - whose 15-year marriage to Simone Callahan broke down last month - admitted he had a "great time" in the US.
He tweeted: "I was in LA last weekend to !!!! Had a great time and lots of fun... It's a fun city. (sic)"
Elizabeth announced in December she had split with husband Arun Nayar "several months ago" after she was romantically linked with Shane, whom she first met last July.
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