M A N I K (NYC)/Splash News Online
January 31, 2016 11:15 AM

We still may not know if Jon Snow is dead or alive – but it sure looks like Kit Harington‘s relationship with Rose Leslie has been brought back to life.

The former flames and Game of Thrones costars stepped out shopping together in Los Angeles on Saturday, where they held hands and shared a kiss, and at one point Leslie peeked over at Harington’s phone, resting her head on his shoulder.

[IMAGE “2” “” “std” ]Harington, 29, and Leslie, 28, first sparked rumors of a connection in 2012 – as their fictional counterparts were cozying up onscreen – though that ended in a year, according to E! News.

But recent sightings have rekindled the speculation – and not for the first time. In addition to the Saturday excursion, Harington and Leslie were seen Thursday together at LAX, along with Thrones costar Sophie Turner.

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“Kit is a lovely and funny man, and a dear friend,” she told PEOPLE in 2014. “We had known each other before we started working together on Game of Thrones. It was always such a privilege to be working opposite him and such a blessing that we get on in real life because it made our characters more believable.”

Neither Harington nor Leslie’s reps immediately responded to a request for comment. But at least one Westeros royal is giving them the thumbs-up.

“”My goodness! You know, we like to spread the love on our show. It’s a beautiful thing,” Emilia Clarke told Entertainment Tonight. “She’s one of my best friends, so it’s good.”

Clarke said, “I mean, there are worse things than being caught kissing Jon Snow!”

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