Classic recipes that ask for both olive oil and butter?

High quality butter mixed with olive oil strikes me as a very good combination. I believe it comes up as a mix in Italian cooking, but I'm not sure where. Can someone come up with any classic recipes that call for both olive oil and butter?

If you're Italian: do you use olive oil with butter for your food? I don't necessarily mean butter that's been premixed with olive oil, just eg if you're frying or cooking, you put both in, rather than the one or the other.

Thanks!

bon appetit