‘Wise Guy’ has won all eight of his professional bouts so far in his developmental period under the guidance of Frank Warren, who also promotes WBO light heavyweight champion Cleverly.
And after helping his stable-mate prepare for dangerous Russian opponent Sergey Kovalev, Buglioni knows who he would back if Froch and Cleverly ever were able to agree to a bout.
“I did a good, hard, eight rounds with Nathan at his gym in Wales and it was probably the most beneficial eight rounds of sparring I have done so far in my career,” said Buglioni.
“It was great to go in with a world champion of Nathan’s stature, seeing his sharpness, ring craft and his presence in the ring, it was a valuable learning experience.
"I've sparred with Carl Froch before when I was in the GB amateur squad but Nathan was definitely quicker and sharper.
"We went at a fast pace and the odd heavy shot went, but it was great for my confidence building and improving my all round skills.
"In my view he's the best world champion in this country at the moment and that is probably because of the years he spent sparring with a great like Joe Calzaghe and a lot of that has rubbed off on him."
Before Welshman Cleverly fights Kovalev on August 17 in Cardiff, Buglioni competes in contest number nine on July 20 at Wembley Arena against an opponent to be confirmed.
Dereck Chisora headlines the card later this month against unbeaten American Malik Scott, while recent BoxNation signing Carl Frampton will also be in action.