Parents’ night out!
and hit the red carpet at the on Saturday – marking since in June.
While George is premiering his dark comedy Suburbicon (which he directed and co-wrote) at the festival, the trip has not been all work for the happy new parents.
Since arriving in Venice earlier in the week, the Clooneys have enjoyed several fun nights out. After a pre-festival date night on Thursday, the couple on Friday, with Amal looking stunning in a blue Missoni gown. Earlier in the day, George at the festival, arriving in a boat (sans Amal) and posing for a photo call for his new film.
The trip to Venice is a quick one for the pair, who have spent much of the summer at their home on Lake Como in Italy wth the twins, . Since the twins’ arrival in June, the Clooney clan has spent low-key time with close friends and family, including Amal’s mother, n, in both the U.K. and Italy.
By mid-July, George, 56, and Amal, 39, started enjoying a few parents-nights-out and were spotted dining – and beaming – at il Gatto Nero, one of their favorite haunts in northern Italy. “You could tell they were happy about the date night,” an onlooker told PEOPLE at the time. “In the past, they always dined for hours. This time, it was obvious they didn’t want to be out too late.”
An Italian summer has suited the family, “The weather has been fantastic — sunny and warm every day. George and Amal are enjoying the summer with their babies. Both .”
The insider added, “George and Amal are very hands-on. The babies keep them very busy, but they both seem .”
Want all the latest pregnancy and birth announcements, plus celebrity mom blogs? Click here to get those and more in the PEOPLE Babies newsletter.
Though the pair was spotted enjoying the occasional date night, another source told PEOPLE that the late evenings are “a rare occasion.”
“It’s like they enjoy having a night out with friends, but the main priority,” explained the second source.
RELATED VIDEO: ‘Everything in My Life Has Changed Over Time’: How George Clooney Decided He Wanted to Be a Dad
It hasn’t been all smooth sailing, however. George , slamming a French tabloid magazine after photographers “scaled our fence, climbed our tree and illegally took pictures of our infants inside our home.” The actor announced his plans to pursue legal action against the paparazzi.
That aside, it’s been a wonderfully low-key summer for the Clooneys as they adjust to being new parents – a role they’ve embraced. George opened up to last week about how life has changed since welcoming little Ella and Alexander, noting, “Suddenly, you’re responsible for other people, which is terrifying.”
Yet, Amal is handling it “so beautifully,” he said: “She’s like an Olympic athlete.” George added, “Right now my job is changing diapers and a little bit. I really didn’t think at 56 that I would be the parent of twins. Don’t make plans. You always have to just enjoy the ride.”