It looks like the alleged romance between Twilight actor Robert Pattinson and British singer FKA Twigs is continuing to blossom.

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On Tuesday, Hollywood Life reported some information on the rumored couple during a grocery shopping trip after they were spotted holding hands in Venice Beach, California. Even though all they were doing was buying food, it seems that there was some public romance going on.

"Robert Pattinson was grocery shopping at Whole Foods late afternoon [on Sept. 21] with twigs, a pretty young lady," a source told the site. "They definitely looked like a couple. They seemed happy. Holding hands while they picked out some fish and veggies."

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The insider also said that the actor bought a bouquet of sunflowers, which may or may not have been a gift for Twigs, whose real name is Tahliah Barnett.

"They weren't in the store for too long, but a good-looking couple, that's for sure," the source added. "Heads were turning."

In a recent story from UK newspaper The Sun, it turns out that the two may have begun a relationship sometime in the summer.

"He's been taking her on dates for the last month or so, and has even flown her out to stay with him in New York," a source told the newspaper, as published by In Touch Weekly. "He also loves going to her gigs."

Considering that Pattinson is known for dating his former "Twilight" co-star Kristen Stewart, there's a possibility that Twigs might be trying to keep a low profile on her love life right now.

"[FKA's] worried about being bogged down by constant comparisons to Kristen," the source said.

Tags: Kristen Stewart Robert Pattinson