Catherine Zeta-Jones and Michael Douglas Ring in 2014 Together
01/02/2014 AT 04:00 PM EST
"Happy New Year from Quebec, Canada... where it is minus 10F," Douglas, 69, wrote in a New Year's Day Facebook post accompanying a photo that appeared to be of the actor, Zeta-Jones, 44, and their kids Dylan, 13, and Carys, 10, posing triumphantly atop a ski slope.The family's faces are obscured behind ski masks, but a local source confirms spotting the whole family out to eat together in Mont Tremblant last week.
The picturesque resort town in Quebec has long been a Douglas family favorite. But in August, Douglas and the couple’s children vacationed there without Zeta-Jones, and soon after the pair announced they were spending time apart after 13 years of marriage.
Still, there have been signs of a reconciliation, with Douglas remaining resolutely optimistic in his public comments on their marriage. In October, he told reporters, "things are great. Onward and upward."
The holidays were a time of togetherness for the family. On Dec. 19 the couple lunched at Madonia Restaurant & Bar in Stamford, Conn., and on Dec. 22, Douglas, Zeta-Jones – both wearing their wedding rings – and their kids spent a day enjoying each other's company. Emerging from their Central Park West apartment, "they looked really happy," an observer tells PEOPLE. "They were smiling. The kids were having fun, enjoying spending time with their parents." After lunch at Orso, the family took in a matinee of Motown the Musical on Broadway before heading out for an evening show of The Hobbit.
Despite their problems, a source close to Zeta-Jones told PEOPLE in September that the couple – who endured Douglas's 2010 cancer battle – were doing everything they could to save their marriage.
"They're not giving up," said the source.
Reporting by PETER MIKELBANK and K.C. BAKER