The singer became friends with the Malcolm In The Middle star after they met by chance at a U.S. radio station in February (13), and he has now invited his new pal to sleep on his couch when he heads to the U.K. in October (13).
Sheeran, whose other famous friends include Taylor Swift and Selena Gomez, tells Scotland's Daily Record newspaper, "I met Frankie Muniz the other day. He's in a band now so he gave me one of his Cds. I listened to it and he was really good.
"He plays drums and he's in England in October so he's going to stay round at my house when he's in my area."