Kristen Stewart and her rumoured girlfriend Alicia Cargile, were spotted strolling in Los Angeles.

According to a report in Pop Sugar, the duo went on a stroll in LA's Los Feliz neighbourhood and stopped by a local market.

The alleged couple kept their look casual, as they went shopping together.

The Mirror reported, "They looked comfortable in each other's company and Kristen was wearing a casual-cool outfit in cropped jeans, white t-shirt and shades, showing off a number of tattoos."

"Alice looked cozy in a green jumper, black beanie hat and shades hanging off the front of her top and the pair were seen browsing and chatting in the store," said the website.

The outing comes a few days after Kristen and Alicia were spotted holding hands at the Los Angeles airport, while returning home from a quick trip.

Hollywood Life said that the rumoured couple happily held hands as they made their way out of the airport and headed home.

"Leading her pal Alicia through a crowd of photographers, Kristen tightly held hands with her friend as they kept close to each other with their heads down," said the report.

A week before, the pair reportedly went on a double date with Kristen's former Twilight costar Taylor Lautner and actress Katherine Hughes.

Rumours are swirling that Kristen and Alicia are allegedly living together in the Twilight star's new multi-million dollar downtown pad.

"Kristen recently bought a huge loft in downtown LA and she asked Alicia to move in," a source told In Touch. "It seemed pointless to live apart, since they were with each other every day."

The downtown apartment will serve as a live-work space for Stewart, who is planning on taking a lengthy break from acting to focus on painting.

"I'm taking some time off because I've been working for two years," she told USA Today in October.

"I'm an actor and that's my art form, and because I started that so young, I've always felt intimidated and insufficient when I think about other forms of art I want to create," she added.