She has previously represented clients such as WikiLeaks founder Julian Assange, former prime minister of Ukraine Yullia Tymoshenko and Egyptian-Canadian journalist Mohamed Fahmy.
Voici magazine hit newsstands on Friday with numerous outlets also running the grainy photos.
Amal gave birth to the couple's twins Ella and Alexander on June 6 in London.
"This morning Amal and George welcomed Ella and Alexander Clooney into their lives.
"Ella, Alexander and Amal are all healthy, happy and doing fine. George is sedated and should recover in a few days," they said in a statement.
While Clooney has numerous properties around the globe, most of his summers are spent at his villa in Lake Como in the southwestern town of Laglio.
"I'm so taken with where I live and how much I love that area," Clooney told news.com.au back in 2007.
"I go there whenever I can. It's where I wrote Good Night And Good Luck and where I finished the script for Leatherheads. It's a really peaceful place to go and write," he added.
Clooney also chose the place for the immense privacy it can provide, however the family will no doubt be taking greater steps to guarantee their peace and quiet after the invasion.