George Clooney & Stacy Keibler -- Meet the Parents!

It's getting really serious between George Clooney and Stacy Keibler ... 'cause the lovebirds have taken their relationship to the next level ... and flown out both of their parents to Clooney's home in Italy.

While entertaining their 'rents, Stacy and her folks were spotted having ice cream in Lake Como (top) as George and his mom and pop (bottom) walked around town on Tuesday.

This is the first time we can remember seeing Clooney and his parents hanging out with one of George's special ladies and her family.

So we gotta ask ...