Meghan Markle and Prince Harry are squeezing in a special date night before the Duchess of Sussex’s panel appearance at the SXSW Conference on Friday.

On Thursday night, the couple grabbed dinner at Soho House Austin in Texas. Meghan, 42, and Harry, 39, traveled from their home in Montecito, California, to Austin, where the Duchess will participate in the Opening Day Keynote Panel on International Women’s Day.

Meghan and Harry dined at a corner table at the private members’ club. “They were happy and in great spirits,” an onlooker tells PEOPLE. “Harry was very animated throughout the dinner. They were super low key and seemed happy to be around the upbeat vibes at the lively venue.”

Soho House is a very special place for the couple — they had their first date at the SoHo House in London in July 2016.

“Red-cheeked, puffing, sweaty, half an hour late, I ran into the restaurant, into the quiet room, and found her sitting at a small area on a low velvet sofa in front of a low coffee table,” Harry recalled in his memoir Spare.

“She was wearing a black sweater, jeans, heels. I knew nothing about clothes, but I knew she was chic. Then again, she could make anything look chic,” Harry wrote. “I’d seen so many photos of her from fashion shoots and TV sets, all glam and glossy, but here she was, in the flesh, no frills, no filter… and even more beautiful. Heart-attack beautiful. I was trying to process this, struggling to understand what was happening to my circulatory and nervous systems, and as a result my brain couldn’t handle any more data. Conversation, pleasantries, the Queen’s English, all became a challenge.”