March 19, 2012 04:30 PM

Jason Merritt/Getty

Ty Burrell‘s own Modern Family is expanding.

The actor, 44, and wife Holly have adopted a second daughter, Greta, the couple tell PEOPLE exclusively.

The baby girl joins big sister Frances at home.

The Burrells are keeping further details of the adoption private at this time.

“There’s lots of problem solving in any marriage, but when you have this collective goal that is a human being, it’s an inspiring rally point,” the actor said in 2010, describing how the addition of Frances brought him even closer to his wife.

Burrell wrapped production on season 3 of Modern Family last week.

— Sarah Michaud with reporting by Julie Jordan

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